Abstract

Generating N single photons simultaneously is a formidable challenge due to the lack of deterministic single photon sources. Recent work [New J. Phys. 19, 063013 (2017] has proposed a relative multiplexing scheme that can enhance the N single photons probability with a minimum of active switching resources. We experimentally demonstrate relative temporal multiplexing on two photon sources with a 90% additional enhancement over the standard temporal multiplexing scheme demonstrated previously. 88 ± 11% visibility of Hong-Ou-Mandel quantum interference verifies the indistinguishability of the heralded single photons after the synchronization. This proof-of-principle demonstration points out the potential significance of the relative multiplexing scheme for large-scale photonic quantum information processing.

© 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2017 (7)

T. Rudolph, “Why I am optimistic about the silicon-photonic route to quantum computing,” APL Photon. 2(3), 030901 (2017).

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

P. Sibson, J. E. Kennard, S. Stanisic, C. Erven, J. L. O’Brien, and M. G. Thompson, “Integrated silicon photonics for high-speed quantum key distribution,” Optica 4, 172–177 (2017).

F. Kaneda, F. Xu, J. Chapman, and P. G. Kwiat, “Quantum-memory-assisted multi-photon generation for efficient quantum information processing,” Optica 4, 1034–1037 (2017).

2016 (9)

X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

G. Mendoza, R. Santagati, J. Munns, E. Hemsley, M. Piekarek, E. M. Lopez, G. D. Marshall, D. Bonneau, M. G. Thompson, and J. L. O’Brien, “Active temporal and spatial multiplexing of photons,” Optica 3(2), 127–132 (2016).

R. J. A. Francis-Jones, R. A. Hoggarth, and P. J. Mosley, “All-fiber multiplexed source of high-purity single photons,” Optica 3(11), 1270–1273 (2016).

K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. van Loock, and A. Furusawa, “Synchronization of optical photons for quantum information processing,” Sci. Adv. 2, e1501772 (2016).
[PubMed]

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
[PubMed]

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
[PubMed]

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
[PubMed]

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[PubMed]

2015 (4)

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115(2), 020502 (2015).
[PubMed]

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).

F. Kaneda, B. G. Christensen, J. J. Wong, H. S. Park, K. T. McCusker, and P. G. Kwiat, “Tim-multiplexed heralded single-photon source,” Optica 2(12), 1010–1013 (2015).

D. Bonneau, G. J. Mendoza, J. L. O’Brien, and M. G. Thompson, “Effect of loss on multiplexed single-photon sources,” New J. Phys. 17, 043057 (2015).

2013 (5)

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

J. Nunn, N. K. Langford, W. S. Kolthammer, T. F. M. Champion, M. R. Sprague, P. S. Michelberger, X. M. Jin, D. G. England, and I. A. Walmsley, “Enhancing multiphoton rates with quantum memories,” Phys. Rev. Lett. 110, 133601 (2013).
[PubMed]

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

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).
[PubMed]

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).
[PubMed]

2011 (2)

J. Mower and D. Englund, “Efficient generation of single and entangled photons on a silicon photonic integrated chip,” Phys. Rev. A 84(5), 052326 (2011).

X. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83(4), 043814 (2011).

2009 (1)

2006 (1)

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

2002 (1)

A. L. Migdall, D. Branning, and S. Castelletto, “Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source,” Phys. Rev. A 66(5), 053805 (2002).

2001 (1)

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409(6816), 46–52 (2001).
[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(18), 2044–2046 (1987).
[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(6121), 794–798 (2013).
[PubMed]

Abrahao, P. A.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

Almeida, M. P.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Anton, C.

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Auffeves, A.

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

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(6121), 798–801 (2013).
[PubMed]

Bell, B.

X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

Bonneau, D.

G. Mendoza, R. Santagati, J. Munns, E. Hemsley, M. Piekarek, E. M. Lopez, G. D. Marshall, D. Bonneau, M. G. Thompson, and J. L. O’Brien, “Active temporal and spatial multiplexing of photons,” Optica 3(2), 127–132 (2016).

D. Bonneau, G. J. Mendoza, J. L. O’Brien, and M. G. Thompson, “Effect of loss on multiplexed single-photon sources,” New J. Phys. 17, 043057 (2015).

Branning, D.

A. L. Migdall, D. Branning, and S. Castelletto, “Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source,” Phys. Rev. A 66(5), 053805 (2002).

Bromberg, Y.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[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(6121), 794–798 (2013).
[PubMed]

Browne, D. E.

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115(2), 020502 (2015).
[PubMed]

Cable, H.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

Cardenas, J.

Carolan, J. C.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

Caspani, L.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[PubMed]

Castelletto, S.

A. L. Migdall, D. Branning, and S. Castelletto, “Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source,” Phys. Rev. A 66(5), 053805 (2002).

Chae, C. J.

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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).

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H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

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X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
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C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
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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).

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X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

Chou, C. W.

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

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Chu, S. T.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
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C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
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M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
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F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

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H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
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M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
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Francis-Jones, R. J. A.

Furusawa, A.

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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).
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N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

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C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
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X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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He, J.

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).

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
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H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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Heideman, R. G.

Heilmann, R.

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

Helt, L. G.

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
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Hoekman, M.

Hofling, S.

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

Höfling, S.

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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Hu, Y.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
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H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

Huang, H. L.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
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J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

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).
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Jiang, R.

X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

Jiang, X.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
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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(6121), 798–801 (2013).
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Johnston, T.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
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Kamp, M.

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
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Kaneda, F.

Kasture, S.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

Kennard, J. E.

Kimble, H. J.

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

Kimura, N. D. L.

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M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Reimer, C.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[PubMed]

Rey, I. H.

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Riedmatten, H. D

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

Robinson, J. T.

Roeloffzen, C. G. H.

Rogers, H. L.

Roztocki, P.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[PubMed]

Rudolph, T.

T. Rudolph, “Why I am optimistic about the silicon-photonic route to quantum computing,” APL Photon. 2(3), 030901 (2017).

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115(2), 020502 (2015).
[PubMed]

Rudolph, T. G.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

Sagnes, I.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Santagati, R.

Santis, L. D.

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Schneider, C.

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
[PubMed]

Schomburg, E. W.

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

Segovia, M. G.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

Senellart, P.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Shadbolt, P.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115(2), 020502 (2015).
[PubMed]

Shahnia, S.

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Sibson, P.

Silverstone, J. W.

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

Smith, B. J.

J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

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).
[PubMed]

Smith, P. G. R.

J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

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).
[PubMed]

Soller, C.

Somaschi, N.

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

Sprague, M. R.

J. Nunn, N. K. Langford, W. S. Kolthammer, T. F. M. Champion, M. R. Sprague, P. S. Michelberger, X. M. Jin, D. G. England, and I. A. Walmsley, “Enhancing multiphoton rates with quantum memories,” Phys. Rev. Lett. 110, 133601 (2013).
[PubMed]

Spring, J.

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(6121), 798–801 (2013).
[PubMed]

Stanisic, S.

Steel, M. J.

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
[PubMed]

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Su, Z.

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

Su, Z. E.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
[PubMed]

Szameit, A.

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

Taddei, C.

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(6121), 798–801 (2013).
[PubMed]

Thompson, M. G.

P. Sibson, J. E. Kennard, S. Stanisic, C. Erven, J. L. O’Brien, and M. G. Thompson, “Integrated silicon photonics for high-speed quantum key distribution,” Optica 4, 172–177 (2017).

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

G. Mendoza, R. Santagati, J. Munns, E. Hemsley, M. Piekarek, E. M. Lopez, G. D. Marshall, D. Bonneau, M. G. Thompson, and J. L. O’Brien, “Active temporal and spatial multiplexing of photons,” Optica 3(2), 127–132 (2016).

D. Bonneau, G. J. Mendoza, J. L. O’Brien, and M. G. Thompson, “Effect of loss on multiplexed single-photon sources,” New J. Phys. 17, 043057 (2015).

Tillmann, M.

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

Toyama, T.

K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. van Loock, and A. Furusawa, “Synchronization of optical photons for quantum information processing,” Sci. Adv. 2, e1501772 (2016).
[PubMed]

Unsleber, S.

X. Ding, Y. He, Z. C. Duan, N. Gregersen, M. C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C. Y. Lu, and J. W. Pan, “On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar,” Phys. Rev. Lett. 116(2), 020401 (2016).
[PubMed]

van Dijk, P. W. L.

van Loock, P.

K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. van Loock, and A. Furusawa, “Synchronization of optical photons for quantum information processing,” Sci. Adv. 2, e1501772 (2016).
[PubMed]

Vo, T. D.

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Walmsley, I. A.

J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

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).
[PubMed]

J. Nunn, N. K. Langford, W. S. Kolthammer, T. F. M. Champion, M. R. Sprague, P. S. Michelberger, X. M. Jin, D. G. England, and I. A. Walmsley, “Enhancing multiphoton rates with quantum memories,” Phys. Rev. Lett. 110, 133601 (2013).
[PubMed]

Walther, P.

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

Wang, H.

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

Wang, X. L.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
[PubMed]

Wetzel, B.

C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
[PubMed]

White, A. G.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

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).
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Wong, J. J.

Wu, D.

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
[PubMed]

Xiong, C.

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
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X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

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).

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

Xu, F.

Yoshikawa, J.

K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. van Loock, and A. Furusawa, “Synchronization of optical photons for quantum information processing,” Sci. Adv. 2, e1501772 (2016).
[PubMed]

Zakaria, N. A.

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

Zeilinger, A.

X. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83(4), 043814 (2011).

Zhang, X.

X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
[PubMed]

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).

Zotter, S.

X. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83(4), 043814 (2011).

APL Photon. (1)

T. Rudolph, “Why I am optimistic about the silicon-photonic route to quantum computing,” APL Photon. 2(3), 030901 (2017).

Laser Photonics Rev. (1)

F. Lenzini, B. Haylock, J. C. Loredo, P. A. Abrahao, N. A. Zakaria, S. Kasture, I. Sagnes, A. Lemaitre, H. P. Phan, D. V. Dao, P. Senellart, M. P. Almeida, A. G. White, and M. Lobino, “Active demultiplexing of single photons from a solid-state source,” Laser Photonics Rev. 11(3), 1600297 (2017).

Nat. Commun. (2)

M. J. Collins, C. Xiong, I. H. Rey, T. D. Vo, J. He, S. Shahnia, C. Reardon, T. F. Krauss, M. J. Steel, A. S. Clark, and B. J. Eggleton, “Integrated spatial multiplexing of heralded single-photon sources,” Nat. Commun. 4, 2582 (2013).
[PubMed]

C. Xiong, X. Zhang, Z. Liu, M. J. Collins, A. Mahendra, L. G. Helt, M. J. Steel, D. Y. Choi, C. J. Chae, P. H. W. Leong, and B. J. Eggleton, “Active temporal multiplexing of indistinguishable heralded single photons,” Nat. Commun. 7, 10853 (2016).
[PubMed]

Nat. Photonics (3)

N. Somaschi, V. Giesz, L. D. Santis, J. C. Loredo, M. P. Almeida, G. Hornecker, S. L. Portalupi, T. Grange, C. Anton, J. Demory, C. Gomez, I. Sagnes, N. D. L. Kimura, A. Lemaitre, A. Auffeves, A. G. White, L. Lanco, and P. Senellart, “Near-optimal single-photon sources in the solid state,” Nat. Photonics 10, 340–345 (2016).

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

H. Wang, Y. He, Y. Li, Z. Su, B. Li, H. Huang, X. Ding, M. Chen, C. Liu, J. Qin, J. Li, Y. He, C. Schneider, M. Kamp, C. Peng, S. Hofling, C. Lu, and J. Pan, “High-efficiency multiphoton boson sampling,” Nat. Photonics 11, 361–365 (2017).

Nat. Phys. (1)

D. Felinto, C. W. Chou, J. Laurat, E. W. Schomburg, H. D Riedmatten, and H. J. Kimble, “Conditional control of the quantum states of remote atomic memories for quantum networking,” Nat. Phys. 2, 844–848 (2006).

Nature (1)

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409(6816), 46–52 (2001).
[PubMed]

New J. Phys. (2)

M. G. Segovia, H. Cable, G. J. Mendoza, P. Shadbolt, J. W. Silverstone, J. C. Carolan, M. G. Thompson, J. L. O’Brien, and T. G. Rudolph, “Relative multiplexing for minimizing switching in linear-optical quantum computing,” New J. Phys. 19, 063013 (2017).

D. Bonneau, G. J. Mendoza, J. L. O’Brien, and M. G. Thompson, “Effect of loss on multiplexed single-photon sources,” New J. Phys. 17, 043057 (2015).

Opt. Express (1)

Optica (7)

P. Sibson, J. E. Kennard, S. Stanisic, C. Erven, J. L. O’Brien, and M. G. Thompson, “Integrated silicon photonics for high-speed quantum key distribution,” Optica 4, 172–177 (2017).

F. Kaneda, B. G. Christensen, J. J. Wong, H. S. Park, K. T. McCusker, and P. G. Kwiat, “Tim-multiplexed heralded single-photon source,” Optica 2(12), 1010–1013 (2015).

G. Mendoza, R. Santagati, J. Munns, E. Hemsley, M. Piekarek, E. M. Lopez, G. D. Marshall, D. Bonneau, M. G. Thompson, and J. L. O’Brien, “Active temporal and spatial multiplexing of photons,” Optica 3(2), 127–132 (2016).

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).

F. Kaneda, F. Xu, J. Chapman, and P. G. Kwiat, “Quantum-memory-assisted multi-photon generation for efficient quantum information processing,” Optica 4, 1034–1037 (2017).

J. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Soller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, and I. A. Walmsley, “A chip-based array of near-identical, pure, heralded single photon sources,” Optica 4(1), 90–96 (2017).

R. J. A. Francis-Jones, R. A. Hoggarth, and P. J. Mosley, “All-fiber multiplexed source of high-purity single photons,” Optica 3(11), 1270–1273 (2016).

Phys. Rev. A (3)

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J. Mower and D. Englund, “Efficient generation of single and entangled photons on a silicon photonic integrated chip,” Phys. Rev. A 84(5), 052326 (2011).

X. Ma, S. Zotter, J. Kofler, T. Jennewein, and A. Zeilinger, “Experimental generation of single photons via active multiplexing,” Phys. Rev. A 83(4), 043814 (2011).

Phys. Rev. Lett. (5)

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115(2), 020502 (2015).
[PubMed]

X. L. Wang, L. K. Chen, W. Li, H. L. Huang, C. Liu, C. Chen, Y. H. Luo, Z. E. Su, D. Wu, Z. D. Li, H. Lu, Y. Hu, X. Jiang, C. Z. Peng, L. Li, N. L. Liu, Y. A. Chen, C. Y. Lu, and J. W. Pan, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117(21), 210502 (2016).
[PubMed]

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Sci. Adv. (1)

K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. van Loock, and A. Furusawa, “Synchronization of optical photons for quantum information processing,” Sci. Adv. 2, e1501772 (2016).
[PubMed]

Science (3)

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).
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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).
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C. Reimer, M. Kues, P. Roztocki, B. Wetzel, F. Grazioso, B. E. Little, S. T. Chu, T. Johnston, Y. Bromberg, L. Caspani, D. J. Moss, and R. Morandotti, “Generation of multiphoton entangled quantum states by means of integrated frequency combs,” Science 351(6278), 1176–1180 (2016).
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Technologies (1)

X. Zhang, R. Jiang, B. Bell, D.-Y. Choi, C. J. Chae, and C. Xiong, “Interfering heralded single photon from two separate silicon nanowire pumped at different wavelengths,” Technologies 4, 25 (2016).

Other (3)

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M. G. Puigibert, G. H. Aguilar, Q. Zhou, M. D. Shaw, V. B. Verma, S. W. Nam, and W. Tittel, “Heralded single photons based on spectral multiplexing and feed-forward control,” https://arXiv:1703.02068 (2017).

R. A. Hoggarth, R. J. A. Francis-Jones, and P. J. Mosley, “Resource-efficient fibre-integrated temporal multiplexing of heralded single photons,” https://arXiv:1706.01828 (2017).

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic of a synchronized N-photons source. Heralding signals indicate the existence of an N-photons state. The dashed lines and circles represent no heralding signals and N-photons at that time-bin, respectively. (b) The principle of the STM scheme. Laser pulses (green) define the time-bins with a period of T. The rectangles represent the time windows, each containing 4 time-bins. The blue circles are the heralding photons. The light red and red circles are the heralded photons before and after shifting, respectively. (c) The principle of the RTM scheme. The rectangles of different colors indicate the time windows being slid by T per step. The blue pulse indicates the time-bin of the output heralded photon pair. (d) Enhancement between RTM and STM. M is the number of time-bins per time window and N is the number of photon sources included in the scheme.

Fig. 2
Fig. 2

Experimental setup. MLL: mode-locked laser, PC: polarization controller, OTDL: optical tunable delay line, EDFA: erbium-doped fiber amplifier. ATT: attenuator, AWG: array waveguide grating, BPF: band pass filter, DG: delay generator, SSPD: superconducting single photon detector, APD: avalanche photon diode, TIA: time interval analyzer. SW: switch, Solid and dashed lines represent optical fibers and electronic cables, respectively.

Fig. 3
Fig. 3

The pink and the red bars represent the raw and net 4-fold coincidence counts in one hour, respectively. The blue bars represent the average heralding signal rate during the same measurement time. The error is based on the Poissonian statistics of the count rates.

Fig. 4
Fig. 4

(a) The principle of the RTM2. (b) Hong-Ou-Mandel quantum interference results. The red diamonds are the 4-fold coincidence counts with noise, represented by the raw 4-fold counts. The blue rectangles are the 4-fold coincidence counts after subtracting noise counts, represented by the net 4-fold counts. The dash line is Gaussian fit. Poisson error bar is used for plot.

Equations (14)

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P STM/time bin = M N1 µ N .
P RTM1/time bin =( M N ( M1 ) N ) µ N .
P RTM1/time bin / P STM/time bin =( M N ( M1 ) N )/ M N1 ,
P RTM2/time bin = M N1 μ N ( 2 N 1).
P RTM2/time bin / P STM/time bin = M N1 ( 2 N 1).
P source/window =1 (1µ) M
P source/window =Mµ.
P STM/window = M N µ N ,
P STM/time bin = M N µ N /M= M N1 µ N .
P RTM1/time bin = M N µ N (M1) N µ N .
P RTM1/time bin / P STM/time bin = ( M N ( M1 ) N )/ M N1 .
P RTM2/window = M N µ N ( 2 N 1).
P RTM2/time bin =[ M N µ N ( 2 N 1)]/M= M N1 μ N ( 2 N 1).
P RTM2/time bin / P STM/time bin =[ M N1 μ N ( 2 N 1 )]/( M N1 μ N )=( 2 N 1).