Abstract

The development of large-scale optical quantum information processing circuits ground on the stability and reconfigurability enabled by integrated photonics. We demonstrate a reconfigurable 8×8 integrated linear optical network based on silicon nitride waveguides for quantum information processing. Our processor implements a novel optical architecture enabling any arbitrary linear transformation and constitutes the largest programmable circuit reported so far on this platform. We validate a variety of photonic quantum information processing primitives, in the form of Hong-Ou-Mandel interference, bosonic coalescence/anti-coalescence and high-dimensional single-photon quantum gates. We achieve fidelities that clearly demonstrate the promising future for large-scale photonic quantum information processing using low-loss silicon nitride.

Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Full Article  |  PDF Article
OSA Recommended Articles
Linear programmable nanophotonic processors

Nicholas C. Harris, Jacques Carolan, Darius Bunandar, Mihika Prabhu, Michael Hochberg, Tom Baehr-Jones, Michael L. Fanto, A. Matthew Smith, Christopher C. Tison, Paul M. Alsing, and Dirk Englund
Optica 5(12) 1623-1631 (2018)

Engineering continuous and discrete variable quantum vortex states by nonlocal photon subtraction in a reconfigurable photonic chip

David Barral, Jesús Liñares, and Daniel Balado
J. Opt. Soc. Am. B 33(11) 2225-2235 (2016)

Software-defined reconfigurable microwave photonics processor

Daniel Pérez, Ivana Gasulla, and José Capmany
Opt. Express 23(11) 14640-14654 (2015)

References

  • View by:
  • |
  • |
  • |

  1. N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
    [Crossref]
  2. J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
    [Crossref]
  3. A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
    [Crossref]
  4. J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
    [Crossref]
  5. D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
    [Crossref]
  6. J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
    [Crossref]
  7. M. E. Anderson, M. Beck, M. G. Raymer, and J. D. Bierlein, “Quadrature squeezing with ultrashort pulses in nonlinear-optical waveguides,” Opt. Lett. 20(6), 620–622 (1995).
    [Crossref]
  8. F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
    [Crossref]
  9. D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
    [Crossref]
  10. S. Lloyd and S. L. Braunstein, “Quantum Computation over Continuous Variables,” Phys. Rev. Lett. 82(8), 1784–1787 (1999).
    [Crossref]
  11. F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
    [Crossref]
  12. S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77(2), 513–577 (2005).
    [Crossref]
  13. G. Masada and A. Furusawa, “On-chip continuous-variable quantum entanglement,” Nanophotonics 5(3), 469–482 (2016).
    [Crossref]
  14. B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
    [Crossref]
  15. P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
    [Crossref]
  16. T. Honjo, K. Inoue, and H. Takahashi, “Differential-phase-shift quantum key distribution experiment with a planar light-wave circuit Mach–Zehnder interferometer,” Opt. Lett. 29(23), 2797–2799 (2004).
    [Crossref]
  17. J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
    [Crossref]
  18. M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
    [Crossref]
  19. A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
    [Crossref]
  20. M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
    [Crossref]
  21. S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
    [Crossref]
  22. Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
    [Crossref]
  23. J. Bueno, S. Maktoobi, L. Froehly, I. Fischer, M. Jacquot, L. Larger, and D. Brunner, “Reinforcement learning in a large-scale photonic recurrent neural network,” Optica 5(6), 756–760 (2018).
    [Crossref]
  24. T. W. Hughes, M. Minkov, Y. Shi, and S. Fan, “Training of photonic neural networks through in situ backpropagation and gradient measurement,” Optica 5(7), 864–871 (2018).
    [Crossref]
  25. L. Zhuang, C. G. H. Roeloffzen, M. Hoekman, K.-J. Boller, and A. J. Lowery, “Programmable photonic signal processor chip for radiofrequency applications,” Optica 2(10), 854–859 (2015).
    [Crossref]
  26. C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
    [Crossref]
  27. J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
    [Crossref]
  28. X. Ji, F. A. S. Barbosa, S. P. Roberts, A. Dutt, J. Cardenas, Y. Okawachi, A. Bryant, A. L. Gaeta, and M. Lipson, “Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold,” Optica 4(6), 619–624 (2017).
    [Crossref]
  29. M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
    [Crossref]
  30. G. Yurtsever, B. Považay, A. Alex, B. Zabihian, W. Drexler, and R. Baets, “Photonic integrated Mach-Zehnder interferometer with an on-chip reference arm for optical coherence tomography,” Biomed. Opt. Express 5(4), 1050–1061 (2014).
    [Crossref]
  31. J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
    [Crossref]
  32. Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.
  33. C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
    [Crossref]
  34. D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
    [Crossref]
  35. X. Zhang, Y. Zhang, C. Xiong, and B. J. Eggleton, “Correlated photon pair generation in low-loss double-stripe silicon nitride waveguides,” J. Opt. 18(7), 074016 (2016).
    [Crossref]
  36. A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
    [Crossref]
  37. A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “Tunable squeezing using coupled ring resonators on a silicon nitride chip,” Opt. Lett. 41(2), 223–226 (2016).
    [Crossref]
  38. V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).
  39. T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
    [Crossref]
  40. C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
    [Crossref]
  41. C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
    [Crossref]
  42. A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
    [Crossref]
  43. C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
    [Crossref]
  44. X. Zhang, B. A. Bell, A. Mahendra, C. Xiong, P. H. W. Leong, and B. J. Eggleton, “Integrated silicon nitride time-bin entanglement circuits,” Opt. Lett. 43(15), 3469–3472 (2018).
    [Crossref]
  45. F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
    [Crossref]
  46. D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
    [Crossref]
  47. J. Blass, “Multidirectional antenna - A new approach to stacked beams,” in Proceedings of IEEE 1958 IRE International Convention Record (IEEE, 1960), pp. 48–50.
  48. F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.
  49. M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
    [Crossref]
  50. W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
    [Crossref]
  51. B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
    [Crossref]
  52. N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
    [Crossref]
  53. D. A. B. Miller, “Self-configuring universal linear optical component [Invited],” Photonics Res. 1(1), 1–15 (2013).
    [Crossref]
  54. H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
    [Crossref]
  55. T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
    [Crossref]
  56. B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
    [Crossref]
  57. A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
    [Crossref]
  58. A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
    [Crossref]
  59. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
    [Crossref]
  60. S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
    [Crossref]
  61. R. Uppu, T. A. W. Wolterink, T. B. H. Tentrup, and P. W. H. Pinkse, “Quantum optics of lossy asymmetric beam splitters,” Opt. Express 24(15), 16440–16449 (2016).
    [Crossref]
  62. M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
    [Crossref]
  63. N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
    [Crossref]
  64. A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
    [Crossref]
  65. A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
    [Crossref]
  66. Y.-M. Di and H.-R. Wei, “Elementary gates for ternary quantum logic circuit,” arXiv:1105485 (2011).
  67. N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
    [Crossref]
  68. D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
    [Crossref]
  69. A. Biberman, M. J. Shaw, E. Timurdogan, J. B. Wright, and M. R. Watts, “Ultralow-loss silicon ring resonators,” Opt. Lett. 37(20), 4236–4238 (2012).
    [Crossref]
  70. S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
    [Crossref]
  71. J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
    [Crossref]
  72. P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
    [Crossref]
  73. M. Heiblum and J. Harris, “Analysis of curved optical waveguides by conformal transformation,” IEEE J. Quantum Electron. 11(2), 75–83 (1975).
    [Crossref]
  74. B. Morrison, Y. Zhang, M. Pagani, B. Eggleton, and D. Marpaung, “Four-wave mixing and nonlinear losses in thick silicon waveguides,” Opt. Lett. 41(11), 2418–2421 (2016).
    [Crossref]
  75. M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
    [Crossref]
  76. B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
    [Crossref]
  77. J. Cardenas, C. B. Poitras, J. T. Robinson, K. Preston, L. Chen, and M. Lipson, “Low loss etchless silicon photonic waveguides,” Opt. Express 17(6), 4752–4757 (2009).
    [Crossref]
  78. R. Adar, M. R. Serbin, and V. Mizrahi, “Less than 1 dB per meter propagation loss of silica waveguides measured using a ring resonator,” J. Lightwave Technol. 12(8), 1369–1372 (1994).
    [Crossref]

2019 (1)

F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
[Crossref]

2018 (8)

N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
[Crossref]

X. Zhang, B. A. Bell, A. Mahendra, C. Xiong, P. H. W. Leong, and B. J. Eggleton, “Integrated silicon nitride time-bin entanglement circuits,” Opt. Lett. 43(15), 3469–3472 (2018).
[Crossref]

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

J. Bueno, S. Maktoobi, L. Froehly, I. Fischer, M. Jacquot, L. Larger, and D. Brunner, “Reinforcement learning in a large-scale photonic recurrent neural network,” Optica 5(6), 756–760 (2018).
[Crossref]

T. W. Hughes, M. Minkov, Y. Shi, and S. Fan, “Training of photonic neural networks through in situ backpropagation and gradient measurement,” Optica 5(7), 864–871 (2018).
[Crossref]

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

2017 (12)

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

X. Ji, F. A. S. Barbosa, S. P. Roberts, A. Dutt, J. Cardenas, Y. Okawachi, A. Bryant, A. L. Gaeta, and M. Lipson, “Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold,” Optica 4(6), 619–624 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

2016 (10)

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
[Crossref]

A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “Tunable squeezing using coupled ring resonators on a silicon nitride chip,” Opt. Lett. 41(2), 223–226 (2016).
[Crossref]

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

R. Uppu, T. A. W. Wolterink, T. B. H. Tentrup, and P. W. H. Pinkse, “Quantum optics of lossy asymmetric beam splitters,” Opt. Express 24(15), 16440–16449 (2016).
[Crossref]

B. Morrison, Y. Zhang, M. Pagani, B. Eggleton, and D. Marpaung, “Four-wave mixing and nonlinear losses in thick silicon waveguides,” Opt. Lett. 41(11), 2418–2421 (2016).
[Crossref]

G. Masada and A. Furusawa, “On-chip continuous-variable quantum entanglement,” Nanophotonics 5(3), 469–482 (2016).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

X. Zhang, Y. Zhang, C. Xiong, and B. J. Eggleton, “Correlated photon pair generation in low-loss double-stripe silicon nitride waveguides,” J. Opt. 18(7), 074016 (2016).
[Crossref]

2015 (7)

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

L. Zhuang, C. G. H. Roeloffzen, M. Hoekman, K.-J. Boller, and A. J. Lowery, “Programmable photonic signal processor chip for radiofrequency applications,” Optica 2(10), 854–859 (2015).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

2014 (7)

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
[Crossref]

G. Yurtsever, B. Považay, A. Alex, B. Zabihian, W. Drexler, and R. Baets, “Photonic integrated Mach-Zehnder interferometer with an on-chip reference arm for optical coherence tomography,” Biomed. Opt. Express 5(4), 1050–1061 (2014).
[Crossref]

2013 (7)

C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
[Crossref]

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

D. A. B. Miller, “Self-configuring universal linear optical component [Invited],” Photonics Res. 1(1), 1–15 (2013).
[Crossref]

2012 (2)

A. Biberman, M. J. Shaw, E. Timurdogan, J. B. Wright, and M. R. Watts, “Ultralow-loss silicon ring resonators,” Opt. Lett. 37(20), 4236–4238 (2012).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

2011 (3)

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

2010 (1)

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

2009 (1)

2007 (1)

B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
[Crossref]

2005 (1)

S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77(2), 513–577 (2005).
[Crossref]

2004 (2)

T. Honjo, K. Inoue, and H. Takahashi, “Differential-phase-shift quantum key distribution experiment with a planar light-wave circuit Mach–Zehnder interferometer,” Opt. Lett. 29(23), 2797–2799 (2004).
[Crossref]

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

2003 (1)

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

1999 (1)

S. Lloyd and S. L. Braunstein, “Quantum Computation over Continuous Variables,” Phys. Rev. Lett. 82(8), 1784–1787 (1999).
[Crossref]

1998 (1)

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

1995 (1)

1994 (2)

R. Adar, M. R. Serbin, and V. Mizrahi, “Less than 1 dB per meter propagation loss of silica waveguides measured using a ring resonator,” J. Lightwave Technol. 12(8), 1369–1372 (1994).
[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref]

1978 (1)

D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
[Crossref]

1975 (1)

M. Heiblum and J. Harris, “Analysis of curved optical waveguides by conformal transformation,” IEEE J. Quantum Electron. 11(2), 75–83 (1975).
[Crossref]

1974 (1)

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

Aaronson, S.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Adar, R.

R. Adar, M. R. Serbin, and V. Mizrahi, “Less than 1 dB per meter propagation loss of silica waveguides measured using a ring resonator,” J. Lightwave Technol. 12(8), 1369–1372 (1994).
[Crossref]

Alex, A.

Alippi, A.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Allman, M. S.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Andersen, U. L.

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

Anderson, M. E.

Babazadeh, A.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Baehr-Jones, T.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

Baets, R.

Barbieri, M.

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Barbosa, F. A. S.

Barkhofen, S.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Barnett, S. M.

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

Baron, A.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Bartlett, S. D.

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Bartley, T. J.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Barton, J. S.

Bauters, J. F.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

Beck, M.

Beeker, W.

Bell, B. A.

Benelajla, M.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Bennett, A. J.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Bergou, J. A.

B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
[Crossref]

Bernstein, H. J.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

Bertani, P.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

Beyer, A. D.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Biamonte, J.

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

Biberman, A.

Bierlein, J. D.

Blass, J.

J. Blass, “Multidirectional antenna - A new approach to stacked beams,” in Proceedings of IEEE 1958 IRE International Convention Record (IEEE, 1960), pp. 48–50.

Blumenthal, D. J.

Boller, K.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Boller, K.-J.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

L. Zhuang, C. G. H. Roeloffzen, M. Hoekman, K.-J. Boller, and A. J. Lowery, “Programmable photonic signal processor chip for radiofrequency applications,” Optica 2(10), 854–859 (2015).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Bonneau, D.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Bowers, J. E.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

Braunstein, S. L.

S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77(2), 513–577 (2005).
[Crossref]

S. Lloyd and S. L. Braunstein, “Quantum Computation over Continuous Variables,” Phys. Rev. Lett. 82(8), 1784–1787 (1999).
[Crossref]

Brod, D. J.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Bromberg, Y.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Broome, M. A.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Bruinink, C. M.

Brunner, D.

Bryant, A.

Bueno, J.

Bunandar, D.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Burla, M.

Callender, C.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Cao, W.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Capmany, J.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Cardenas, J.

Carolan, J.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Casini, F.

F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.

Celo, D.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Chae, C. J.

Chen, C.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

Chen, L.

Chen, L. R.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Choi, D. Y.

Chow, J. M.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Christ, A.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

Clements, W. R.

Collins, M. J.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Córcoles, A. D.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Crespi, A.

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Cross, A. W.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Crudgington, L.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Ctistis, G.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

Cui, L.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

da Silva, M. P.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Dakic, B.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Dalton, R. B.

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Dangel, C.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Dao, D. V.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Datta, A.

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Davenport, M. L.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

De Nicola, F.

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Defienne, H.

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

Dekker, R.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Devaux, É

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Dheur, M.-C.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Di, Y.-M.

Y.-M. Di and H.-R. Wei, “Elementary gates for ternary quantum logic circuit,” arXiv:1105485 (2011).

Dijk, P. W. L. V.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Ding, Z.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Djordjevic, S. S.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Dorenbos, S. N.

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Dove, J.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Drexler, W.

Dumais, P.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Dutt, A.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

X. Ji, F. A. S. Barbosa, S. P. Roberts, A. Dutt, J. Cardenas, Y. Okawachi, A. Bryant, A. L. Gaeta, and M. Lipson, “Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold,” Optica 4(6), 619–624 (2017).
[Crossref]

A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “Tunable squeezing using coupled ring resonators on a silicon nitride chip,” Opt. Lett. 41(2), 223–226 (2016).
[Crossref]

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

Eckstein, A.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

Eggleton, B.

Eggleton, B. J.

Ellis, D. J. P.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Englund, D.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

Epping, J. P.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

Erhard, M.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Erven, C.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Fallnich, C.

Fan, L.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

Fan, S.

Fan, Y.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Farr, W. H.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Fazio, R.

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Fedrizzi, A.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Ferranti, G.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Fischer, I.

Flamini, F.

F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
[Crossref]

Fontaine, N. K.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Froehly, L.

Fujiwara, M.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

Furusawa, A.

G. Masada and A. Furusawa, “On-chip continuous-variable quantum entanglement,” Nanophotonics 5(3), 469–482 (2016).
[Crossref]

Gaeta, A. L.

Galland, C.

Galvão, E. F.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Gambetta, J. M.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Gasulla, I.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Gates, J. C.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Gatti, A.

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

Gatti, R. V.

F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.

Gehring, T.

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

Geisler, D. J.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Gerrits, T.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Geskus, D.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Geuzebroek, D.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Gigan, S.

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

Gilchrist, A.

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Giovannetti, V.

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Godfrey, M.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Greffet, J.-J.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Griffiths, J. P.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Grootjans, R.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Guan, B.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Guo, X.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

Hadfield, R. H.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Hai, S. M.

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

Hamilton, C. S.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Harris, J.

M. Heiblum and J. Harris, “Analysis of curved optical waveguides by conformal transformation,” IEEE J. Quantum Electron. 11(2), 75–83 (1975).
[Crossref]

Harris, N. C.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

Harris Nicholas, C.

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Harrold, C.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Harvey, M. D.

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Hashimoto, T.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Haylock, B.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

He, B.

B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
[Crossref]

He, J.

Heck, M. J. R.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

Heiblum, M.

M. Heiblum and J. Harris, “Analysis of curved optical waveguides by conformal transformation,” IEEE J. Quantum Electron. 11(2), 75–83 (1975).
[Crossref]

Heideman, R. G.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
[Crossref]

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Heilmann, R.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Hellwig, T.

Helt, L.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Hochberg, M.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

Hoekman, M.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

L. Zhuang, C. G. H. Roeloffzen, M. Hoekman, K.-J. Boller, and A. J. Lowery, “Programmable photonic signal processor chip for radiofrequency applications,” Optica 2(10), 854–859 (2015).
[Crossref]

M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Hoff, U. B.

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref]

Honjo, T.

Hughes, T. W.

Hugonin, J.-P.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Humphreys, P. C.

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Huntington, E. H.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Ibrahim, S.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Inoue, K.

Iskhakov, T.

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

Ismail, N.

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Itoh, M.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Jacob, S.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Jacquot, M.

Janousek, J.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Jeffers, J.

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

Jex, I.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Ji, X.

Jiang, P.

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Jin, X.-M.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

John, D. D.

Johnson, B. R.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Kasture, S.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Kennard, J. E.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Khan, M. R.

Khokhar, A. Z.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Klein, E. J.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Kolthammer, W. S.

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Krenn, M.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Kruse, R.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

Kundys, D.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Lahini, Y.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Laing, A.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Lam, P. K.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Langford, N. K.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Larger, L.

Larochelle, H.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Lavoie, J.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Lee, C. J.

Lee, J. P.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Leinse, A.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

J. P. Epping, T. Hellwig, M. Hoekman, R. Mateman, A. Leinse, R. G. Heideman, A. van Rees, P. J. M. van der Slot, C. J. Lee, C. Fallnich, and K.-J. Boller, “On-chip visible-to-infrared supercontinuum generation with more than 495 THz spectral bandwidth,” Opt. Express 23(15), 19596–19604 (2015).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
[Crossref]

J. F. Bauters, M. J. R. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” Opt. Express 19(24), 24090–24101 (2011).
[Crossref]

Lenzini, F.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Leong, P. H. W.

Li, K.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Liboiron-Ladouceur, O.

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

Lipson, M.

Lita, A.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Lita, A. E.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Liu, Y.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Lloyd, S.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

S. Lloyd and S. L. Braunstein, “Quantum Computation over Continuous Variables,” Phys. Rev. Lett. 82(8), 1784–1787 (1999).
[Crossref]

Lobino, M.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Loudon, R.

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

Lowery, A. J.

Luke, K.

A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “Tunable squeezing using coupled ring resonators on a silicon nitride chip,” Opt. Lett. 41(2), 223–226 (2016).
[Crossref]

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

Ma, X.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

Ma, Y.

Macedo, P. B.

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

Mahendra, A.

Mahler, D. H.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Maiorino, E.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Maktoobi, S.

Malik, M.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Mandel, L.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref]

Manipatruni, S.

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

Marcaccioli, L.

F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.

Marchenko, D.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Marpaung, D.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

B. Morrison, Y. Zhang, M. Pagani, B. Eggleton, and D. Marpaung, “Four-wave mixing and nonlinear losses in thick silicon waveguides,” Opt. Lett. 41(11), 2418–2421 (2016).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

Marpaung, D. A. I.

Marquier, F.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Marshall, G. D.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Marsili, F.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Martín-López, E.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Masada, G.

G. Masada and A. Furusawa, “On-chip continuous-variable quantum entanglement,” Nanophotonics 5(3), 469–482 (2016).
[Crossref]

Mashanovich, G. Z.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Mataloni, P.

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Mateman, R.

Matsuda, N.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Matthews, J. C. F.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Meinecke, J. D. A.

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Menotti, M.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Messin, G.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Metcalf, B. J.

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Miki, S.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Miller, D. A. B.

D. A. B. Miller, “Self-configuring universal linear optical component [Invited],” Photonics Res. 1(1), 1–15 (2013).
[Crossref]

Miller, S.

Minkov, M.

Mirin, R. P.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Mitchell, T. A.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Mizrahi, V.

R. Adar, M. R. Serbin, and V. Mizrahi, “Less than 1 dB per meter propagation loss of silica waveguides measured using a ring resonator,” J. Lightwave Technol. 12(8), 1369–1372 (1994).
[Crossref]

Mizuno, J.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

Mohanty, A.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

Mohr, R.

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

Montrose, C. J.

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

Morrison, B.

B. Morrison, Y. Zhang, M. Pagani, B. Eggleton, and D. Marpaung, “Four-wave mixing and nonlinear losses in thick silicon waveguides,” Opt. Lett. 41(11), 2418–2421 (2016).
[Crossref]

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Mosley, P. J.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

Mower, J.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22(9), 10487–10493 (2014).
[Crossref]

Nam, S. W.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Natarajan, C. M.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Nolte, S.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Nouroozi, R.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Nussenzveig, P.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “Tunable squeezing using coupled ring resonators on a silicon nitride chip,” Opt. Lett. 41(2), 223–226 (2016).
[Crossref]

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

O’Brien, J. L.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Obrien, J. L.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Oguma, M.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Okawachi, Y.

Oldenbeuving, R. M.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Osellame, R.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Ou, Z. Y.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref]

Pagani, M.

Pancotti, N.

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

Pant, M.

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Paraiso, T. K.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Pérez, D.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Pernice, W. H. P.

C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
[Crossref]

Peruzzo, A.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Phan, H.-P.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Pinkse, P. W. H.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

R. Uppu, T. A. W. Wolterink, T. B. H. Tentrup, and P. W. H. Pinkse, “Quantum optics of lossy asymmetric beam splitters,” Opt. Express 24(15), 16440–16449 (2016).
[Crossref]

Poitras, C. B.

Politi, A.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Pooser, R. C.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Poot, M.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

Poulios, K.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Považay, B.

Prabhu, M.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Preston, K.

Pryde, G. J.

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Quesada, N.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Raffaelli, F.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Rahimi-Keshari, S.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Ralph, T. C.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

Ramelow, S.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

Ramponi, R.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Raymer, M. G.

Rebentrost, P.

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

Reck, M.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

Rees, A. V.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Repingon, A.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Resta, G. V.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Ristè, D.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Ritchie, D. A.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Roberts, S. P.

Robinson, J. T.

Rockstuhl, C.

N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
[Crossref]

Roeloffzen, C. G.

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

Roeloffzen, C. G. H.

Rousseau, E.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Rudolph, T.

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Russell, N. J.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Ryan, C. A.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Samadi, P.

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Sansoni, L.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Santamato, A.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Sasaki, M.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

Schreuder, E.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Schroder, D. K.

D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
[Crossref]

Schroeder, J.

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

Schuck, C.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
[Crossref]

Sciarrino, F.

F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

Scott, R. P.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Serbin, M. R.

R. Adar, M. R. Serbin, and V. Mizrahi, “Less than 1 dB per meter propagation loss of silica waveguides measured using a ring resonator,” J. Lightwave Technol. 12(8), 1369–1372 (1994).
[Crossref]

Shadbolt, P. J.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

Shahrokhshahi, R.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Shaw, M. D.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Shaw, M. J.

Shen, Y.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Shi, Y.

Shields, A. J.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Sibson, P.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Silberberg, Y.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Silberhorn, C.

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

Silverstone, J. W.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Sinclair, G.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Skirlo, S.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Slowik, K.

N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
[Crossref]

Smith, B. J.

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Smith, P. G. R.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Smolin, J. A.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Soljacic, M.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Sorrentino, R.

F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.

Spagnolo, N.

F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Sparrow, C.

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

Spencer, D. T.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

Spencer, P.

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

Spring, J. B.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Steinbrecher, G. R.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

Steinbrecher Greg, R.

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Stern, J. A.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Sun, X.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Swartz, J. C.

D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
[Crossref]

Szameit, A.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Taballione, C.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Taddei, C.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

C. Xiong, X. Zhang, A. Mahendra, J. He, D. Y. Choi, C. J. Chae, D. Marpaung, A. Leinse, R. G. Heideman, M. Hoekman, C. G. H. Roeloffzen, R. M. Oldenbeuving, P. W. L. van Dijk, C. Taddei, P. H. W. Leong, and B. J. Eggleton, “Compact and reconfigurable silicon nitride time-bin entanglement circuit,” Optica 2(8), 724–727 (2015).
[Crossref]

Takahashi, H.

Takeoka, M.

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

Tan, K.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Tang, H. X.

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
[Crossref]

Tanner, M. G.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Tentrup, T. B. H.

Terai, H.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Thearle, O.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Thomas, R. N.

D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
[Crossref]

Thomas-Peter, N.

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Thompson, M. G.

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Thomson, D. J.

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Tillmann, M.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Timens, R. B.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Timurdogan, E.

Tischler, N.

N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
[Crossref]

Uppu, R.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

R. Uppu, T. A. W. Wolterink, T. B. H. Tentrup, and P. W. H. Pinkse, “Quantum optics of lossy asymmetric beam splitters,” Opt. Express 24(15), 16440–16449 (2016).
[Crossref]

Vaidya, V. D.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

van der Slot, P. J. M.

van Dijk, P. W. L.

van Loock, P.

S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77(2), 513–577 (2005).
[Crossref]

van Rees, A.

Veenstra, T.

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

Verma, V. B.

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

Vernon, Z.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

Vest, B.

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

Villa, M.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Visscher, I.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

Vitelli, C.

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Vos, W. L.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

Walmsley, I. A.

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3(12), 1460–1465 (2016).
[Crossref]

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Walther, P.

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Wang, F.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

Wang, Z.

B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
[Crossref]

Watts, M. R.

Wei, H.-R.

Y.-M. Di and H.-R. Wei, “Elementary gates for ternary quantum logic circuit,” arXiv:1105485 (2011).

Wevers, L. S.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

White, A. G.

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

Wiebe, N.

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

Wittek, P.

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

Wolterink, T. A. W.

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

R. Uppu, T. A. W. Wolterink, T. B. H. Tentrup, and P. W. H. Pinkse, “Quantum optics of lossy asymmetric beam splitters,” Opt. Express 24(15), 16440–16449 (2016).
[Crossref]

Wong, F. N. C.

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

Wörhoff, K.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Wright, J. B.

Xiong, C.

Yamashita, T.

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

Yonezawa, H.

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

Yoo, S. J. B.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Yurtsever, G.

Zabihian, B.

Zeilinger, A.

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

Zhang, M.

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

Zhang, X.

Zhang, Y.

B. Morrison, Y. Zhang, M. Pagani, B. Eggleton, and D. Marpaung, “Four-wave mixing and nonlinear losses in thick silicon waveguides,” Opt. Lett. 41(11), 2418–2421 (2016).
[Crossref]

X. Zhang, Y. Zhang, C. Xiong, and B. J. Eggleton, “Correlated photon pair generation in low-loss double-stripe silicon nitride waveguides,” J. Opt. 18(7), 074016 (2016).
[Crossref]

Zhao, S.

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

Zhou, L.

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

Zhou, X.-Q.

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

Zhuang, L.

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

L. Zhuang, C. G. H. Roeloffzen, M. Hoekman, K.-J. Boller, and A. J. Lowery, “Programmable photonic signal processor chip for radiofrequency applications,” Optica 2(10), 854–859 (2015).
[Crossref]

M. Burla, D. A. I. Marpaung, L. Zhuang, M. R. Khan, A. Leinse, W. Beeker, M. Hoekman, R. G. Heideman, and C. G. H. Roeloffzen, “Multiwavelength-Integrated Optical Beamformer Based on Wavelength Division Multiplexing for 2-D Phased Array Antennas,” J. Lightwave Technol. 32(20), 3509–3520 (2014).
[Crossref]

Zwiller, V.

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

Appl. Phys. Lett. (2)

D. J. P. Ellis, A. J. Bennett, C. Dangel, J. P. Lee, J. P. Griffiths, T. A. Mitchell, T. K. Paraiso, P. Spencer, D. A. Ritchie, and A. J. Shields, “Independent indistinguishable quantum light sources on a reconfigurable photonic integrated circuit,” Appl. Phys. Lett. 112(21), 211104 (2018).
[Crossref]

C. Schuck, W. H. P. Pernice, and H. X. Tang, “NbTiN superconducting nanowire detectors for visible and telecom wavelengths single photon counting on Si3N4 photonic circuits,” Appl. Phys. Lett. 102(5), 051101 (2013).
[Crossref]

Biomed. Opt. Express (1)

IEEE J. Quantum Electron. (1)

M. Heiblum and J. Harris, “Analysis of curved optical waveguides by conformal transformation,” IEEE J. Quantum Electron. 11(2), 75–83 (1975).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

B. Guan, S. S. Djordjevic, N. K. Fontaine, L. Zhou, S. Ibrahim, R. P. Scott, D. J. Geisler, Z. Ding, and S. J. B. Yoo, “CMOS Compatible Reconfigurable Silicon Photonic Lattice Filters Using Cascaded Unit Cells for RF-Photonic Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 359–368 (2014).
[Crossref]

C. G. H. Roeloffzen, M. Hoekman, E. J. Klein, L. S. Wevers, R. B. Timens, D. Marchenko, D. Geskus, R. Dekker, A. Alippi, R. Grootjans, A. V. Rees, R. M. Oldenbeuving, J. P. Epping, R. G. Heideman, K. Wörhoff, A. Leinse, D. Geuzebroek, E. Schreuder, P. W. L. V. Dijk, I. Visscher, C. Taddei, Y. Fan, C. Taballione, Y. Liu, D. Marpaung, L. Zhuang, M. Benelajla, and K. Boller, “Low-Loss Si3N4 TriPleX Optical Waveguides: Technology and Applications Overview,” IEEE J. Sel. Top. Quantum Electron. 24(4), 1–21 (2018).
[Crossref]

IEEE Trans. Appl. Supercond. (1)

A. D. Beyer, M. D. Shaw, F. Marsili, M. S. Allman, A. E. Lita, V. B. Verma, G. V. Resta, J. A. Stern, R. P. Mirin, S. W. Nam, and W. H. Farr, “Tungsten Silicide Superconducting Nanowire Single-Photon Test Structures Fabricated Using Optical Lithography,” IEEE Trans. Appl. Supercond. 25(3), 1–5 (2015).
[Crossref]

IEEE Trans. Electron Devices (1)

D. K. Schroder, R. N. Thomas, and J. C. Swartz, “Free carrier absorption in silicon,” IEEE Trans. Electron Devices 25(2), 254–261 (1978).
[Crossref]

J. Lightwave Technol. (2)

J. Non-Cryst. Solids (1)

J. Schroeder, R. Mohr, C. J. Montrose, and P. B. Macedo, “Light scattering in a number of optical grade glasses,” J. Non-Cryst. Solids 13(2), 313–320 (1974).
[Crossref]

J. Opt. (1)

X. Zhang, Y. Zhang, C. Xiong, and B. J. Eggleton, “Correlated photon pair generation in low-loss double-stripe silicon nitride waveguides,” J. Opt. 18(7), 074016 (2016).
[Crossref]

Laser Photonics Rev. (1)

M. J. R. Heck, J. F. Bauters, M. L. Davenport, D. T. Spencer, and J. E. Bowers, “Ultra-low loss waveguide platform and its integration with silicon photonics,” Laser Photonics Rev. 8(5), 667–686 (2014).
[Crossref]

Nanophotonics (2)

G. Masada and A. Furusawa, “On-chip continuous-variable quantum entanglement,” Nanophotonics 5(3), 469–482 (2016).
[Crossref]

C. Harris Nicholas, D. Bunandar, M. Pant, R. Steinbrecher Greg, J. Mower, M. Prabhu, T. Baehr-Jones, M. Hochberg, and D. Englund, “Large-scale quantum photonic circuits in silicon,” Nanophotonics 5(3), 456–468 (2016).
[Crossref]

Nat. Commun. (4)

P. Sibson, C. Erven, M. Godfrey, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “Chip-based quantum key distribution,” Nat. Commun. 8(1), 13984 (2017).
[Crossref]

C. Schuck, X. Guo, L. Fan, X. Ma, M. Poot, and H. X. Tang, “Quantum interference in heterogeneous superconducting-photonic circuits on a silicon chip,” Nat. Commun. 7(1), 10352 (2016).
[Crossref]

A. Mohanty, M. Zhang, A. Dutt, S. Ramelow, P. Nussenzveig, and M. Lipson, “Quantum interference between transverse spatial waveguide modes,” Nat. Commun. 8(1), 14010 (2017).
[Crossref]

D. Pérez, I. Gasulla, L. Crudgington, D. J. Thomson, A. Z. Khokhar, K. Li, W. Cao, G. Z. Mashanovich, and J. Capmany, “Multipurpose silicon photonics signal processor core,” Nat. Commun. 8(1), 636 (2017).
[Crossref]

Nat. Photonics (7)

B. J. Metcalf, J. B. Spring, P. C. Humphreys, N. Thomas-Peter, M. Barbieri, W. S. Kolthammer, X.-M. Jin, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Quantum teleportation on a photonic chip,” Nat. Photonics 8(10), 770–774 (2014).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013).
[Crossref]

J. Carolan, J. D. A. Meinecke, P. J. Shadbolt, N. J. Russell, N. Ismail, K. Wörhoff, T. Rudolph, M. G. Thompson, J. L. O’Brien, J. C. F. Matthews, and A. Laing, “On the experimental verification of quantum complexity in linear optics,” Nat. Photonics 8(8), 621–626 (2014).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nat. Photonics 7(7), 540–544 (2013).
[Crossref]

Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, and M. Soljačić, “Deep learning with coherent nanophotonic circuits,” Nat. Photonics 11(7), 441–446 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11(7), 447–452 (2017).
[Crossref]

Nature (1)

J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, “Quantum machine learning,” Nature 549(7671), 195–202 (2017).
[Crossref]

npj Quantum Inf. (1)

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, “Demonstration of quantum advantage in machine learning,” npj Quantum Inf. 3(1), 16 (2017).
[Crossref]

Opt. Commun. (1)

P. Samadi, L. R. Chen, C. Callender, P. Dumais, S. Jacob, and D. Celo, “RF arbitrary waveform generation using tunable planar lightwave circuits,” Opt. Commun. 284(15), 3737–3741 (2011).
[Crossref]

Opt. Express (5)

Opt. Lett. (6)

Optica (6)

Photonics (1)

S. M. Hai, A. Leinse, T. Veenstra, and O. Liboiron-Ladouceur, “A Thermally Tunable 1 × 4 Channel Wavelength Demultiplexer Designed on a Low-Loss Si3N4 Waveguide Platform,” Photonics 2(4), 1065–1080 (2015).
[Crossref]

Photonics Res. (1)

D. A. B. Miller, “Self-configuring universal linear optical component [Invited],” Photonics Res. 1(1), 1–15 (2013).
[Crossref]

Phys. Rev. A (3)

T. A. W. Wolterink, R. Uppu, G. Ctistis, W. L. Vos, K.-J. Boller, and P. W. H. Pinkse, “Programmable two-photon quantum interference in channels in opaque scattering media,” Phys. Rev. A 93(5), 053817 (2016).
[Crossref]

B. He, J. A. Bergou, and Z. Wang, “Implementation of quantum operations on single-photon qudits,” Phys. Rev. A 76(4), 042326 (2007).
[Crossref]

S. M. Barnett, J. Jeffers, A. Gatti, and R. Loudon, “Quantum optics of lossy beam splitters,” Phys. Rev. A 57(3), 2134–2145 (1998).
[Crossref]

Phys. Rev. Appl. (1)

A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, “On-Chip Optical Squeezing,” Phys. Rev. Appl. 3(4), 044005 (2015).
[Crossref]

Phys. Rev. Lett. (9)

S. Barkhofen, T. J. Bartley, L. Sansoni, R. Kruse, C. S. Hamilton, I. Jex, and C. Silberhorn, “Driven Boson Sampling,” Phys. Rev. Lett. 118(2), 020502 (2017).
[Crossref]

D. Bonneau, M. Lobino, P. Jiang, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, M. G. Thompson, and J. L. O’Brien, “Fast Path and Polarization Manipulation of Telecom Wavelength Single Photons in Lithium Niobate Waveguide Devices,” Phys. Rev. Lett. 108(5), 053601 (2012).
[Crossref]

S. Lloyd and S. L. Braunstein, “Quantum Computation over Continuous Variables,” Phys. Rev. Lett. 82(8), 1784–1787 (1999).
[Crossref]

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref]

M. Fujiwara, M. Takeoka, J. Mizuno, and M. Sasaki, “Exceeding the Classical Capacity Limit in a Quantum Optical Channel,” Phys. Rev. Lett. 90(16), 167906 (2003).
[Crossref]

N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93(5), 053601 (2004).
[Crossref]

A. Babazadeh, M. Erhard, F. Wang, M. Malik, R. Nouroozi, M. Krenn, and A. Zeilinger, “High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments,” Phys. Rev. Lett. 119(18), 180510 (2017).
[Crossref]

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, “Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light,” Phys. Rev. Lett. 106(1), 013603 (2011).
[Crossref]

Phys. Rev. X (1)

N. Tischler, C. Rockstuhl, and K. Słowik, “Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain,” Phys. Rev. X 8(2), 021017 (2018).
[Crossref]

Proc. SPIE Microtechnologies (1)

T. Gehring, U. B. Hoff, T. Iskhakov, and U. L. Andersen, “Towards an integrated squeezed light source,” Proc. SPIE Microtechnologies 10249, 102490D (2017).
[Crossref]

Quantum Sci. Technol. (1)

F. Raffaelli, G. Ferranti, D. H. Mahler, P. Sibson, J. E. Kennard, A. Santamato, G. Sinclair, D. Bonneau, M. G. Thompson, and J. C. F. Matthews, “A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers,” Quantum Sci. Technol. 3(2), 025003 (2018).
[Crossref]

Rep. Prog. Phys. (1)

F. Flamini, N. Spagnolo, and F. Sciarrino, “Photonic quantum information processing: a review,” Rep. Prog. Phys. 82(1), 016001 (2019).
[Crossref]

Rev. Mod. Phys. (1)

S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77(2), 513–577 (2005).
[Crossref]

Sci. Adv. (2)

F. Lenzini, J. Janousek, O. Thearle, M. Villa, B. Haylock, S. Kasture, L. Cui, H.-P. Phan, D. V. Dao, H. Yonezawa, P. K. Lam, E. H. Huntington, and M. Lobino, “Integrated photonic platform for quantum information with continuous variables,” Sci. Adv. 4(12), eaat9331 (2018).
[Crossref]

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2(1), e1501054 (2016).
[Crossref]

Science (5)

B. Vest, M.-C. Dheur, É Devaux, A. Baron, E. Rousseau, J.-P. Hugonin, J.-J. Greffet, G. Messin, and F. Marquier, “Anti-coalescence of bosons on a lossy beam splitter,” Science 356(6345), 1373–1376 (2017).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. Obrien, “Quantum Walks of Correlated Photons,” Science 329(5998), 1500–1503 (2010).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349(6249), 711–716 (2015).
[Crossref]

M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, “Photonic Boson Sampling in a Tunable Circuit,” Science 339(6121), 794–798 (2013).
[Crossref]

J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson Sampling on a Photonic Chip,” Science 339(6121), 798–801 (2013).
[Crossref]

Other (5)

Y. Fan, R. M. Oldenbeuving, C. G. Roeloffzen, M. Hoekman, D. Geskus, R. G. Heideman, and K.-J. Boller, “290 Hz Intrinsic Linewidth from an Integrated Optical Chip-based Widely Tunable InP-Si3N4 Hybrid Laser,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Opical Society of America, 2017), paper JTh5C.9.

V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokhshahi, D. H. Mahler, M. J. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti, N. Quesada, R. C. Pooser, A. Lita, T. Gerrits, S. W. Nam, and Z. Vernon, “Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device,” arXiv:1904.07833 (2019).

J. Blass, “Multidirectional antenna - A new approach to stacked beams,” in Proceedings of IEEE 1958 IRE International Convention Record (IEEE, 1960), pp. 48–50.

F. Casini, R. V. Gatti, L. Marcaccioli, and R. Sorrentino, “A novel design method for blass matrix beam-forming networks,” in Proceedings of IEEE 2007 European Microwave Conference (IEEE, 2007), pp. 1511–1514.

Y.-M. Di and H.-R. Wei, “Elementary gates for ternary quantum logic circuit,” arXiv:1105485 (2011).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (10)

Fig. 1.
Fig. 1. Schematic geometrical layout of the programmable silicon nitride linear optical waveguide network where tight guiding in high-contrast SiN waveguides is exploited to form a dense waveguide mesh, with currently 21 Mach-Zehnder interferometers per square centimeter. Bullets indicate the injection of single photons via the front or side facets of the chip. The circuit contains delay lines to equalize photon arrival and departure times at the front and back ports of the internal interferometers. The location of electric heaters with feed wires and bond pads is shown at the top surface in gold. Choosing bullets with different colors indicates that the wide transparency range of the waveguides allows using the processor with quantum light sources over a wide spectral range, from the visible to the mid-infrared.
Fig. 2.
Fig. 2. Schematic of the experimental setup. (a) The photonic processor is composed of 64 unit cells, each comprising a phase shifter (red vertical line) and a tunable beam splitter (blue horizontal line) implemented as a Mach-Zehnder interferometer. The rhomboidal shape of the processor’s schematic has been chosen for better overview. In the real processor the elements are arranged on a square mesh. (b) Photon pairs are generated via type-II parametric down-conversion in PPKTP waveguides pumped with a mode-locked laser at 775 nm and injected into the photonic processor.
Fig. 3.
Fig. 3. Transmission of the first accessible tunable beam splitter. The diamonds are the experimental data and the blue dashed line is the sinusoidal fit. The visibility of the sinusoid gives the range of splitting ratio achievable and the period of the sinusoid is related to the phase shift induced by the tunable element.
Fig. 4.
Fig. 4. (a) Two-photon interference at various locations of the processor (colored circles), also indicating the used pairs of input waveguides (bullets of the same color). (b) Coincidence probability versus delay. The two-photon interference measured at the tunable beam splitters on the processor (red data points) is well in accord with the off-chip reference measurement (blue data points). All the investigated beam splitters show a similar visibility. The solid curves indicates Gaussian fits to the data. The error bars are given by the square root of the number of coincidences.
Fig. 5.
Fig. 5. (a) Implementation of a lossy beam splitter on a 2×2 Blass matrix. The black elements are set accordingly to the desired T. (b) Coincidence versus delay for two different lossy transformations T. Measured two-photon bosonic coalescence (red curve)/anti-coalescence (blue curve) with a visibility of 81% and 70% respectively.
Fig. 6.
Fig. 6. (a) Realization of an 8-dimensional X-gate and (b) its measured truth table. (c) Truth tables of integer powers of the X-gate reported above. The average fidelity is ${{{\cal F}}_{8 \times 8}} = 94.6\%$. (d) Evolution of a coherent superposition input state $|\pm \rangle = (1/\sqrt 2 )({|{{1\rangle_5} \pm } |{1\rangle_6}} )$ through a 6-dimensional X-gate, giving a fidelity of $\; 91.9\%$.
Fig. 7.
Fig. 7. Schematic of a universal linear optical network. The unit cell (dashed frame) comprises a tunable beam splitter in the form of a tunable Mach-Zehnder interferometer with two directional couplers and a phase shifter in one arm of length ${L_t}$ (red), followed by an external phase shifter (${L_t}$, red). The path length through the unit cell is determined by the length of the straight-waveguide tunable elements and the length of curved waveguides (radius of curvature R).
Fig. 8.
Fig. 8. Functional complexity calculated for three different platforms: silicon nitride (red curve), SOI (blue) and doped silica (green). The highest functional complexity achieved in previous work is indicated as data points, i.e., [1,46] realized in SOI, [17] in doped silica and this work realized with silicon nitride.
Fig. 9.
Fig. 9. Schematic of how to implement a d-dimensional X-gate on a d-dimensional linear optical network.
Fig. 10.
Fig. 10. Overview of planar waveguide propagation loss versus bending radius as in [63] with more recent works [1,61,62,64]. The loss value for large radius tends to ${\alpha _s}$.

Tables (1)

Tables Icon

Table 1. Parameters used for the functional complexity calculation.

Metrics