Abstract

We report the possibility of completely destructive interference of three indistinguishable photons on a three port device providing a generalisation of the well known Hong-Ou-Mandel interference of two indistinguishable photons on a two port device. Our analysis is based on the underlying mathematical framework of SU(3) transformations rather than SU(2) transformations. We show the completely destructive three photon interference for a large range of parameters of the three port device and point out the physical origin of such interference in terms of the contributions from different quantum paths. As each output port can deliver zero to three photons the device generates higher dimensional entanglement. In particular, different forms of entangled states of qudits can be generated depending on the device parameters. Our system is different from a symmetric three port beam splitter which does not exhibit a three photon Hong-Ou-Mandel interference.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Integrated quantum photonic sensor based on Hong-Ou-Mandel interference

Sahar Basiri-Esfahani, Casey R. Myers, Ardalan Armin, Joshua Combes, and Gerard J. Milburn
Opt. Express 23(12) 16008-16023 (2015)

Near-infrared Hong-Ou-Mandel interference on a silicon quantum photonic chip

Xinan Xu, Zhenda Xie, Jiangjun Zheng, Junlin Liang, Tian Zhong, Mingbin Yu, Serdar Kocaman, Guo-Qiang Lo, Dim-Lee Kwong, Dirk R. Englund, Franco N. C. Wong, and Chee Wei Wong
Opt. Express 21(4) 5014-5024 (2013)

The Hong-Ou-Mandel effect in the context of few-photon scattering

Paolo Longo, Jared H. Cole, and Kurt Busch
Opt. Express 20(11) 12326-12340 (2012)

References

  • View by:
  • |
  • |
  • |

  1. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
    [Crossref] [PubMed]
  2. Y. H. Shih and C. O. Alley, “New Type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921 (1988).
    [Crossref] [PubMed]
  3. A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
    [Crossref] [PubMed]
  4. A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
    [Crossref]
  5. Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
    [Crossref] [PubMed]
  6. M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
    [Crossref]
  7. S. D. Gupta and G. S. Agarwal, “Two-photon quantum interference in plasmonics: theory and applications,” Opt. Lett. 39, 390 (2014).
    [Crossref] [PubMed]
  8. G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
    [Crossref]
  9. J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
    [Crossref]
  10. P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
    [Crossref]
  11. J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
    [Crossref]
  12. R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).
  13. J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
    [Crossref] [PubMed]
  14. R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
    [Crossref]
  15. P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
    [Crossref]
  16. X. Li, L. Yang, L. Cui, Z. Y. Ou, and D. Yu, “Observation of quantum interference between a single-photon state and a thermal state generated in optical fibers,” Opt. Express 16(17), 12505 (2008).
    [Crossref] [PubMed]
  17. K. Laiho, K. N. Cassemiro, and Ch. Silberhorn, “Producing high fidelity single photons with optimal brightness via waveguided parametric down-conversion,” Opt. Express 17(25), 22823 (2009).
    [Crossref]
  18. R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
    [Crossref]
  19. Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (1999).
    [Crossref]
  20. H. Wang and T. Kobayashi, “Phase measurement at the Heisenberg limit with three photons,” Phys. Rev. A 71, 021802 (2005).
    [Crossref]
  21. B. H. Liu, F. W. Sun, Y. X. Gong, Y. F. Huang, G. C. Guo, and Z. Y. Ou, “Four-photon interference with asymmetric beam splitters,” Opt. Lett. 32(10), 1320 (2007).
    [Crossref] [PubMed]
  22. G. S. Agarwal, Quantum Optics (Cambridge University, 2012), Sec. (5.7).
    [Crossref]
  23. K. Suzuki, V. Sharma, J. G. Fujimoto, E. P. Ippen, and Y. Nasu, “Characterization of symmetric [3×3] directional couplers fabricated by direct writing with a femtosecond laser oscillator,” Opt. Express 14(6), 2335 (2006).
    [Crossref] [PubMed]
  24. S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
    [Crossref]
  25. Y. L. Lim and A. Beige, “Generalized Hong-Ou-Mandel experiments with bosons and fermions,” New J. Phys. 7, 155 (2005).
    [Crossref]
  26. M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
    [Crossref] [PubMed]
  27. R. Campos, “Three-photon Hong-Ou-Mandel interference at a multiport mixer,” Phys. Rev. A 62, 013809 (2000).
    [Crossref]
  28. M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58 (1994).
    [Crossref] [PubMed]
  29. S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
    [Crossref] [PubMed]
  30. G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
    [Crossref] [PubMed]
  31. A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
    [Crossref] [PubMed]
  32. T. Meany, M. Delanty, S. Gross, G. D. Marshall, M. J. Steel, and M. J. Withford, “Non-classical interference in integrated 3D multiports,” Opt. Express 20(24), 26895 (2012).
    [Crossref] [PubMed]
  33. 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, 794 (2013).
    [Crossref]
  34. 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, 798 (2013).
    [Crossref]
  35. M. Tillmann, B. Dakić, R. Heilmann, S. Nolte, A. Szameit, and P. Walther, “Experimental boson sampling,” Nature Photonics 7, 540 (2013).
    [Crossref]
  36. A. Crespi, R. Osellame, R. Ramponi, J. B. Daniel, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nature Photonics 7, 545 (2013).
    [Crossref]
  37. Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).
  38. V. Tamma and S. Laibacher, “Multiboson correlation interferometry with arbitrary single-photon pure states,” arXiv:1410.8121 [quant-ph] (2014).
  39. N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
    [Crossref] [PubMed]
  40. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd edition (Wiley, 2007), Sec. (8.5).
  41. J. M. Heaton and R. M. Jenkins, “General matrix theory of self-imaging in multimode interference (MMI) couplers,” IEEE Photonics Technol. Lett. 11, 212 (1999).
    [Crossref]
  42. E. Poem and Y. Silberberg, “Photon correlations in multimode waveguides,” Phys. Rev. A 84, 041805 (2011).
    [Crossref]
  43. S. Scheel, “Permanents in linear optical networks,” arXiv:quant-ph/0406127 (2004).

2014 (4)

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

S. D. Gupta and G. S. Agarwal, “Two-photon quantum interference in plasmonics: theory and applications,” Opt. Lett. 39, 390 (2014).
[Crossref] [PubMed]

2013 (7)

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

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, 794 (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, 798 (2013).
[Crossref]

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

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

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

2012 (3)

T. Meany, M. Delanty, S. Gross, G. D. Marshall, M. J. Steel, and M. J. Withford, “Non-classical interference in integrated 3D multiports,” Opt. Express 20(24), 26895 (2012).
[Crossref] [PubMed]

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

2011 (3)

R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
[Crossref]

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

E. Poem and Y. Silberberg, “Photon correlations in multimode waveguides,” Phys. Rev. A 84, 041805 (2011).
[Crossref]

2010 (4)

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
[Crossref]

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

2009 (2)

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

K. Laiho, K. N. Cassemiro, and Ch. Silberhorn, “Producing high fidelity single photons with optimal brightness via waveguided parametric down-conversion,” Opt. Express 17(25), 22823 (2009).
[Crossref]

2008 (3)

X. Li, L. Yang, L. Cui, Z. Y. Ou, and D. Yu, “Observation of quantum interference between a single-photon state and a thermal state generated in optical fibers,” Opt. Express 16(17), 12505 (2008).
[Crossref] [PubMed]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
[Crossref]

2007 (2)

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

B. H. Liu, F. W. Sun, Y. X. Gong, Y. F. Huang, G. C. Guo, and Z. Y. Ou, “Four-photon interference with asymmetric beam splitters,” Opt. Lett. 32(10), 1320 (2007).
[Crossref] [PubMed]

2006 (1)

2005 (2)

H. Wang and T. Kobayashi, “Phase measurement at the Heisenberg limit with three photons,” Phys. Rev. A 71, 021802 (2005).
[Crossref]

Y. L. Lim and A. Beige, “Generalized Hong-Ou-Mandel experiments with bosons and fermions,” New J. Phys. 7, 155 (2005).
[Crossref]

2000 (1)

R. Campos, “Three-photon Hong-Ou-Mandel interference at a multiport mixer,” Phys. Rev. A 62, 013809 (2000).
[Crossref]

1999 (2)

J. M. Heaton and R. M. Jenkins, “General matrix theory of self-imaging in multimode interference (MMI) couplers,” IEEE Photonics Technol. Lett. 11, 212 (1999).
[Crossref]

Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (1999).
[Crossref]

1996 (1)

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

1994 (1)

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

1988 (1)

Y. H. Shih and C. O. Alley, “New Type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921 (1988).
[Crossref] [PubMed]

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, 2044 (1987).
[Crossref] [PubMed]

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, 794 (2013).
[Crossref]

Agarwal, G. S.

S. D. Gupta and G. S. Agarwal, “Two-photon quantum interference in plasmonics: theory and applications,” Opt. Lett. 39, 390 (2014).
[Crossref] [PubMed]

R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
[Crossref]

J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
[Crossref]

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
[Crossref]

G. S. Agarwal, Quantum Optics (Cambridge University, 2012), Sec. (5.7).
[Crossref]

Alibart, O.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Alley, C. O.

Y. H. Shih and C. O. Alley, “New Type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921 (1988).
[Crossref] [PubMed]

Aparo, L.

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

Atwater, H. A.

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

Barbieri, M.

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, 798 (2013).
[Crossref]

Bastin, T.

J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
[Crossref]

Beige, A.

Y. L. Lim and A. Beige, “Generalized Hong-Ou-Mandel experiments with bosons and fermions,” New J. Phys. 7, 155 (2005).
[Crossref]

Bennett, A. J.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[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, 58 (1994).
[Crossref] [PubMed]

Bertani, P.

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

Bromberg, Y.

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

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, 794 (2013).
[Crossref]

Buchleitner, A.

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

Campos, R.

R. Campos, “Three-photon Hong-Ou-Mandel interference at a multiport mixer,” Phys. Rev. A 62, 013809 (2000).
[Crossref]

Cassemiro, K. N.

Chaboyer, Z.

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

Crespi, A.

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

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

Cryan, M. J.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

Cui, L.

Dakic, B.

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

Daniel, J. B.

A. Crespi, R. Osellame, R. Ramponi, J. B. Daniel, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nature Photonics 7, 545 (2013).
[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, 798 (2013).
[Crossref]

De Guise, H.

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

De Melo, F.

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

De Micheli, M. P.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Delanty, M.

Di Martino, G.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

Dieleman, F.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[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, 794 (2013).
[Crossref]

Fakonas, J. S.

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

Farrer, I.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[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, 794 (2013).
[Crossref]

Fujimoto, J. G.

Galvão, E. F.

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

Gao, Y. Y.

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

Gates, J. C.

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, 798 (2013).
[Crossref]

Gerard, L.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Gillet, J.

J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
[Crossref]

Gold, P.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Gong, Y. X.

Gross, S.

Guo, G. C.

Gupta, S. D.

Heaton, J. M.

J. M. Heaton and R. M. Jenkins, “General matrix theory of self-imaging in multimode interference (MMI) couplers,” IEEE Photonics Technol. Lett. 11, 212 (1999).
[Crossref]

Heilmann, R.

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

Helt, L. G.

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

Höfling, S.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Hofmann, J.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

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, 2044 (1987).
[Crossref] [PubMed]

Huang, Y. F.

Humphreys, P. C.

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, 798 (2013).
[Crossref]

Ippen, E. P.

Jenkins, R. M.

J. M. Heaton and R. M. Jenkins, “General matrix theory of self-imaging in multimode interference (MMI) couplers,” IEEE Photonics Technol. Lett. 11, 212 (1999).
[Crossref]

Jin, X.-M.

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, 798 (2013).
[Crossref]

Kaiser, F.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Kamp, M.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Kelaita, Y. A.

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

Kéna-Cohen, S.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

Kim, M. S.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Kobayashi, T.

H. Wang and T. Kobayashi, “Phase measurement at the Heisenberg limit with three photons,” Phys. Rev. A 71, 021802 (2005).
[Crossref]

Kolthammer, W. S.

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, 798 (2013).
[Crossref]

Krug, M.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Kundys, D.

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, 798 (2013).
[Crossref]

Lahini, Y.

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

Laibacher, S.

V. Tamma and S. Laibacher, “Multiboson correlation interferometry with arbitrary single-photon pure states,” arXiv:1410.8121 [quant-ph] (2014).

Laiho, K.

Laing, A.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

Langford, N. K.

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, 798 (2013).
[Crossref]

Lee, H.

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

Lee, J.

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Li, X.

Lim, Y. L.

Y. L. Lim and A. Beige, “Generalized Hong-Ou-Mandel experiments with bosons and fermions,” New J. Phys. 7, 155 (2005).
[Crossref]

Liu, B. H.

Maier, S.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Maier, S. A.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Maiorino, E.

A. Crespi, R. Osellame, R. Ramponi, J. B. Daniel, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nature Photonics 7, 545 (2013).
[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, 2044 (1987).
[Crossref] [PubMed]

Marshall, G. D.

Martin, A.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Mataloni, P.

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

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

Matsukevich, D. N.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

Maunz, P.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

McEnery, K. R.

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Meany, T.

T. Meany, M. Delanty, S. Gross, G. D. Marshall, M. J. Steel, and M. J. Withford, “Non-classical interference in integrated 3D multiports,” Opt. Express 20(24), 26895 (2012).
[Crossref] [PubMed]

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

Metcalf, B. J.

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, 798 (2013).
[Crossref]

Mintert, F.

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

Moehring, D. L.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

Monroe, C.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

Morandotti, R.

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

Nasu, Y.

Nicoll, C. A.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

Nolte, S.

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

O’Brien, J. L.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

Olmschenk, S.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

Ortegel, N.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Osellame, R.

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

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

Ostrowsky, D.B.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Ou, Z. Y.

X. Li, L. Yang, L. Cui, Z. Y. Ou, and D. Yu, “Observation of quantum interference between a single-photon state and a thermal state generated in optical fibers,” Opt. Express 16(17), 12505 (2008).
[Crossref] [PubMed]

B. H. Liu, F. W. Sun, Y. X. Gong, Y. F. Huang, G. C. Guo, and Z. Y. Ou, “Four-photon interference with asymmetric beam splitters,” Opt. Lett. 32(10), 1320 (2007).
[Crossref] [PubMed]

Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (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, 2044 (1987).
[Crossref] [PubMed]

Ozdemir, S. K.

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Özdemir, S. K.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

Patel, R. B.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

Perk, J. H. H.

A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
[Crossref]

Peruzzo, A.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

Poem, E.

E. Poem and Y. Silberberg, “Photon correlations in multimode waveguides,” Phys. Rev. A 84, 041805 (2011).
[Crossref]

Politi, A.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

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, 794 (2013).
[Crossref]

Rai, A.

A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
[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, 794 (2013).
[Crossref]

Ramponi, R.

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

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

Rarity, J. G.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

Reck, M.

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

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

Reitzenstein, S.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Rhee, J.-K.

Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (1999).
[Crossref]

Ritchie, D. A.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

Rosenfeld, W.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Rudolph, T.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

Saleh, B. E. A.

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd edition (Wiley, 2007), Sec. (8.5).

Sanders, B. C.

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

Scheel, S.

S. Scheel, “Permanents in linear optical networks,” arXiv:quant-ph/0406127 (2004).

Schneider, C.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Sciarrino, F.

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

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

Sharma, V.

Shields, A. J.

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

Shih, Y. H.

Y. H. Shih and C. O. Alley, “New Type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921 (1988).
[Crossref] [PubMed]

Silberberg, Y.

E. Poem and Y. Silberberg, “Photon correlations in multimode waveguides,” Phys. Rev. A 84, 041805 (2011).
[Crossref]

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

Silberhorn, Ch.

Smith, B. J.

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, 798 (2013).
[Crossref]

Smith, P. G. R.

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, 798 (2013).
[Crossref]

Sonnefraud, Y.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

Spagnolo, N.

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

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

Spring, J. B.

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, 798 (2013).
[Crossref]

Steel, M. J.

T. Meany, M. Delanty, S. Gross, G. D. Marshall, M. J. Steel, and M. J. Withford, “Non-classical interference in integrated 3D multiports,” Opt. Express 20(24), 26895 (2012).
[Crossref] [PubMed]

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

Sun, F. W.

Suzuki, K.

Szameit, A.

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

Tame, M. S.

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

Tamma, V.

V. Tamma and S. Laibacher, “Multiboson correlation interferometry with arbitrary single-photon pure states,” arXiv:1410.8121 [quant-ph] (2014).

Tan, S.-H.

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

Tanzilli, S.

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Teich, M. C.

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd edition (Wiley, 2007), Sec. (8.5).

Thiel, C.

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

Thoma, A.

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Thomas-Peter, N.

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, 798 (2013).
[Crossref]

Tichy, M. C.

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

Tiersch, M.

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

Tillmann, M.

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

Vitelli, C.

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

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

von Zanthier, J.

R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
[Crossref]

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

Walmsley, I. 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, 798 (2013).
[Crossref]

Walther, P.

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

Wang, H.

H. Wang and T. Kobayashi, “Phase measurement at the Heisenberg limit with three photons,” Phys. Rev. A 71, 021802 (2005).
[Crossref]

Wang, L. J.

Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (1999).
[Crossref]

Weber, M.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Weihs, G.

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

Weinfurter, H.

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

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, 794 (2013).
[Crossref]

Wiegner, R.

R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
[Crossref]

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

Withford, M. J.

T. Meany, M. Delanty, S. Gross, G. D. Marshall, M. J. Steel, and M. J. Withford, “Non-classical interference in integrated 3D multiports,” Opt. Express 20(24), 26895 (2012).
[Crossref] [PubMed]

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

Yang, L.

Younge, K. C.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

Yu, D.

Yu, S.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

Zeilinger, A.

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

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

IEEE Photonics Technol. Lett. (1)

J. M. Heaton and R. M. Jenkins, “General matrix theory of self-imaging in multimode interference (MMI) couplers,” IEEE Photonics Technol. Lett. 11, 212 (1999).
[Crossref]

J. Phys. B (1)

R. Wiegner, J. von Zanthier, and G. S. Agarwal, “Quantum interference and non-locality of independent photons from disparate sources,” J. Phys. B 44, 055501 (2011).
[Crossref]

Laser & Photon. Rev. (1)

S. Tanzilli, A. Martin, F. Kaiser, M. P. De Micheli, O. Alibart, and D.B. Ostrowsky, “On the genesis and evolution of integrated quantum optics,” Laser & Photon. Rev. 6, 115 (2012).
[Crossref]

Nat. Commun. (1)

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’Brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).
[Crossref] [PubMed]

Nature Communications (1)

N. Spagnolo, C. Vitelli, L. Aparo, P. Mataloni, F. Sciarrino, A. Crespi, R. Ramponi, and R. Osellame, “Three-photon bosonic coalescence in an integrated tritter,” Nature Communications 4, 1606 (2013).
[Crossref] [PubMed]

Nature Photonics (4)

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

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

J. S. Fakonas, H. Lee, Y. A. Kelaita, and H. A. Atwater, “Two-plasmon quantum interference,” Nature Photonics 8, 317 (2014).
[Crossref]

R. B. Patel, A. J. Bennett, I. Farrer, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Two-photon interference of the emission from electrically tunable remote quantum dots,” Nature Photonics 4, 632 (2010).
[Crossref]

Nature Physics (2)

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Monroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nature Physics 3, 538 (2007).
[Crossref]

M. S. Tame, K. R. McEnery, S. K. Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, “Quantum plasmonics,” Nature Physics 9, 329 (2013).
[Crossref]

New J. Phys. (1)

Y. L. Lim and A. Beige, “Generalized Hong-Ou-Mandel experiments with bosons and fermions,” New J. Phys. 7, 155 (2005).
[Crossref]

Opt. Express (4)

Opt. Lett. (2)

Phys. Rev. A (7)

A. Rai, G. S. Agarwal, and J. H. H. Perk, “Transport and quantum walk of nonclassical light in coupled waveguides,” Phys. Rev. A 78, 042304 (2008).
[Crossref]

J. Gillet, G. S. Agarwal, and T. Bastin, “Tunable entanglement, antibunching, and saturation effects in dipole blockade,” Phys. Rev. A 81, 013837 (2010).
[Crossref]

R. Wiegner, C. Thiel, J. von Zanthier, and G. S. Agarwal, “Creating path entanglement and violating Bell inequalities by independent photon sources,” Phys. Rev. A 374, 3405 (2010).

R. Campos, “Three-photon Hong-Ou-Mandel interference at a multiport mixer,” Phys. Rev. A 62, 013809 (2000).
[Crossref]

H. Wang and T. Kobayashi, “Phase measurement at the Heisenberg limit with three photons,” Phys. Rev. A 71, 021802 (2005).
[Crossref]

G. Weihs, M. Reck, H. Weinfurter, and A. Zeilinger, “Two-photon interference in optical fiber multiports,” Phys. Rev. A 54, 893 (1996).
[Crossref] [PubMed]

E. Poem and Y. Silberberg, “Photon correlations in multimode waveguides,” Phys. Rev. A 84, 041805 (2011).
[Crossref]

Phys. Rev. Applied (1)

G. Di Martino, Y. Sonnefraud, M. S. Tame, S. Kéna-Cohen, F. Dieleman, S. K. Özdemir, M. S. Kim, and S. A. Maier, “Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect,” Phys. Rev. Applied 1, 034004 (2014).
[Crossref]

Phys. Rev. B (1)

P. Gold, A. Thoma, S. Maier, S. Reitzenstein, C. Schneider, S. Höfling, and M. Kamp, “Two-photon interference from remote quantum dots with inhomogeneously broadened linewidths,” Phys. Rev. B 89, 035313 (2014).
[Crossref]

Phys. Rev. Lett. (7)

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

Y. H. Shih and C. O. Alley, “New Type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921 (1988).
[Crossref] [PubMed]

Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102, 253904 (2009).
[Crossref] [PubMed]

M. C. Tichy, M. Tiersch, F. De Melo, F. Mintert, and A. Buchleitner, “Zero-transmission law for multiport beam splitters,” Phys. Rev. Lett. 104, 220405 (2010).
[Crossref] [PubMed]

Z. Y. Ou, J.-K. Rhee, and L. J. Wang, “Observation of four-photon interference with a beam splitter by pulsed parametric down-conversion,” Phys. Rev. Lett. 83, 959 (1999).
[Crossref]

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

S.-H. Tan, Y. Y. Gao, H. De Guise, and B. C. Sanders, “SU(3) quantum interferometry with single-photon input pulses,” Phys. Rev. Lett. 110, 113603 (2013).
[Crossref] [PubMed]

Science (4)

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, 794 (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, 798 (2013).
[Crossref]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646 (2008).
[Crossref] [PubMed]

J. Hofmann, M. Krug, N. Ortegel, L. Gerard, M. Weber, W. Rosenfeld, and H. Weinfurter, “Heralded entanglement between widely separated atoms,” Science 337, 72 (2012).
[Crossref] [PubMed]

Other (5)

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd edition (Wiley, 2007), Sec. (8.5).

S. Scheel, “Permanents in linear optical networks,” arXiv:quant-ph/0406127 (2004).

G. S. Agarwal, Quantum Optics (Cambridge University, 2012), Sec. (5.7).
[Crossref]

Z. Chaboyer, T. Meany, L. G. Helt, M. J. Withford, and M. J. Steel, “Tuneable quantum interference in a 3D integrated circuit,” arXiv:1409.4908 [quant-ph] (2014).

V. Tamma and S. Laibacher, “Multiboson correlation interferometry with arbitrary single-photon pure states,” arXiv:1410.8121 [quant-ph] (2014).

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 (4)

Fig. 1
Fig. 1

Scheme of a 3 × 3 waveguide array with continuous coupling between the inner mode and the outer modes

Fig. 2
Fig. 2

Three examples for different indistinguishable quantum paths leading to the same output state |300⟩ in (a), |021⟩ in (b) and |111⟩ in (c)

Fig. 3
Fig. 3

Plot of the three photon coincidence probability |c111|2 and the HOM contour, where the condition |c111|2=0 is fulfilled.

Fig. 4
Fig. 4

Plots of the HOM contour and the coordinates of the investigated states (red crosses, green dots and blue diamonds), which display bipartite entanglement (a) or possibly tripartite entanglement (b)/(c).

Tables (5)

Tables Icon

Table 1 Table of coefficients for equation (16). Coefficients, which are not listed, are equal to 0.

Tables Icon

Table 2 Table of coefficients for equation (17). Coefficients, which are not listed, are equal to 0.

Tables Icon

Table 3 Table of coefficients for equation (18). Coefficients, which are not listed, are equal to 0.

Tables Icon

Table 4 Table of coefficients for equation (18). Coefficients, which are not listed, are equal to 0.

Tables Icon

Table 5 Table of coefficients for equation (18). Coefficients, which are not listed, are equal to 0.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

H ^ int = ( g 1 a ^ 1 a ^ 2 + g 2 a ^ 2 a ^ 3 + g 1 * a ^ 2 a ^ 1 + g 2 * a ^ 3 a ^ 2 ) .
d d t a ( t ) = i ( 0 g 1 0 g 1 * 0 g 2 0 g 2 * 0 ) a ( t ) M ,
V = ( cos 2 ( θ ) cos ( G ) + sin 2 ( θ ) i cos ( θ ) sin ( G ) e i ψ cos ( θ ) sin ( θ ) e i ( φ + ψ ) ( cos ( G ) 1 ) i cos ( θ ) sin ( G ) e i ψ cos ( G ) i sin ( θ ) sin ( G ) e i φ cos ( θ ) sin ( θ ) e i ( φ + ψ ) ( cos ( G ) 1 ) i sin ( θ ) sin ( G ) e i φ sin 2 ( θ ) cos ( G ) + cos 2 ( θ ) ) .
| ψ out = l = 1 3 V 1 l a ^ l ( t ) m = 1 3 V 2 m a ^ m ( t ) n = 1 3 V 3 n a ^ n ( t ) | 0 ,
| ψ out = c 300 | 3 , 0 , 0 + c 030 | 0 , 3 , 0 + + c 210 | 2 , 1 , 0 + + c 111 | 1 , 1 , 1 ,
Perm = σ j = 1 N A j σ ( j ) ,
c k l m = Perm { k , l , m } k ! l ! m ! .
V { 3 , 0 , 0 } = ( V 11 V 11 V 11 V 21 V 21 V 21 V 31 V 31 V 31 ) ,
Perm V { 3 , 0 , 0 } = 6 V 11 V 21 V 31 .
V { 0 , 2 , 1 } = ( V 12 V 12 V 13 V 22 V 22 V 23 V 32 V 32 V 33 )
Perm V { 0 , 2 , 1 } = 2 ( V 12 V 22 V 33 + V 12 V 23 V 32 + V 13 V 22 V 32 ) .
Perm V { 1 , 1 , 1 } = V 11 V 22 V 33 + V 12 V 23 V 31 + V 13 V 21 V 32 + V 11 V 23 V 32 + V 12 V 21 V 33 + V 13 V 22 V 31 .
c 111 = ! 0
c 111 = V 11 V 22 V 33 + V 12 V 23 V 31 + V 13 V 21 V 32 + V 11 V 23 V 32 + V 12 V 21 V 33 + V 13 V 22 V 31 .
θ ( G ) = n π ± arcsec [ 4 / 8 ± 2 csc 4 ( G 2 ) sin 4 ( G 2 ) ( 20 cos ( G ) + 3 ( 8 cos ( 2 G ) + 4 cos ( 3 G ) + 3 cos ( 4 G ) + 5 ) ) 3 cos ( G ) + 2 ]
| ψ out = 1 2 ( | 2 j , 0 k + | 0 j , 2 k ) | 1 l
| ψ out = 3 4 ( | 3 j , 0 k + | 0 j , 3 k ) | 0 l + 1 4 ( | 2 j , 1 k + | 1 j , 2 k ) | 0 l + 1 2 ( | 1 j , 0 k + | 0 j , 1 k ) | 2 l
| ψ out = 1 3 2 ( 2 | 3 j , 0 k , 0 l + | 0 j , 3 k , 0 l + | 0 j , 0 k , 3 l ) + 1 6 ( | 1 j , 0 l + | 0 j , 1 l ) | 2 k + 1 6 ( | 1 j , 0 l + | 0 j , 1 k ) | 2 l

Metrics