Abstract
The recent development of chip-scale integrated quantum photonic circuits has radically changed the way in which quantum optic experiments are performed, and provides a means to deliver complex and compact quantum photonic technologies for applications in quantum communications, sensing, and computation. Silicon photonics is a promising material system for the delivery of a fully integrated and large-scale quantum photonic technology platform, where all key components could be monolithically integrated into single quantum devices. In this chapter, we provide an overview of the field silicon quantum photonics, presenting the latest developments in the generation, manipulation, and detection of quantum states of light key on-chip functions that form the basic building blocks of future quantum information processing and communication technologies.
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Notes
- 1.
This is the case for a laser, outputting \(10\) mW, with a typical signal-to-source spontaneous emission ratio (SSE) of around 50Â dB.
- 2.
\(ACC\) is defined as the number of uncorrelated events leading to coincidental detections per second. It can be either directly measured or estimated using the fact that it is the product of the independent probabilities \(p_{i} \equiv C_{i} \tau\) and \(p_{s} \equiv C_{s} \tau\) for getting a single click from each channel within \(\tau\), multiplied by the number of coincidence window in one second \(\frac{1}{\tau }\), giving \(ACC\left( P \right) = C_{i} \left( P \right)C_{s} \left( P \right)\tau\).
- 3.
References
H.-K. Lo, M. Curty, K. Tamaki, Secure quantum key distribution. Nat. Photonics 80(8), 595–604 (2014)
V. Giovannetti, S. Lloyd, L. Maccone. Advances in quantum metrology. Nat. Photonics 50(4), 222–229 (2011). doi:10.1038/nphoton.2011.35. http://www.nature.com/doifinder/10.1038/nphoton.2011.35
T.D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, J.L. O’Brien, Quantum computers. Nature 464(7285), 45–53 (2010). <3, 5>
R.P. Muller, R. Blume-Kohout, The promise of quantum simulation. ACS Nano 150721172749008 (2015). doi:10.1021/acsnano.5b03650. http://pubs.acs.org/doi/abs/10.1021/acsnano.5b03650
A. Aspect, A. Aspect, P. Grangier, P. Grangier, G. Roger, Experimental tests of realistic local theories via Bell’s theorem. Phys. Rev. Lett. 470(7), 460–463 (1981)
A.C. Dada, J. Leach, G.S. Buller, M.J Padgett, E. Andersson, Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities. Nat. Phys. 70(9), 677–680 (2011). doi:10.1038/nphys1996. http://www.nature.com/doifinder/10.1038/nphys1996
ID quantique, http://www.idquantique.com. Accessed 7 Aug 2015
A. Politi, M.J. Cryan, J.G. Rarity, S. Yu, J.L. O’Brien, Silica-on-silicon waveguide quantum circuits. Science 320, 646 (2008)
J.L. O’Brien, A. Furusawa, J. Vuckovic, Photonic quantum technologies. Nat. Photonics 30(12), 687–695 (2009)
A. Peruzzo, M. Lobino, J.C.F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.Q. Zhou, Y. Lahini, N. Ismail, K. Worhoff, Y. Bromberg, Y. Silberberg, M.G. Thompson, J.L. O’Brien, Quantum walks of correlated photons. Science (2010). doi:10.1126/science.1193515. http://www.sciencemag.org/content/329/5998/1500.short
P.J. Shadbolt, M.R. Verde, A. Peruzzo, A. Politi, A. Laing, M. Lobino, J.C.F. Matthews, M.G. Thompson, J.L. O’Brien, Generating, manipulating and measuring entanglement and mixture with a reconfigurable photonic circuit. Nat. Photonics 60(1), 45–49 (2012)
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, I.A. Walmsley, Boson sampling on a photonic chip. Science 3390(6121), 798–801 (2013). doi:10.1126/science.1231692. http://www.sciencemag.org/content/339/6121/798.full
A. Crespi, R. Osellame, R. Ramponi, D.J. Brod, E.F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, F. Sciarrino, Integrated multimode interferometers with arbitrary designs for photonic boson sampling. Nat. Photonics 70(7), 545–549 (2013). doi:10.1038/nphoton.2013.112. http://www.nature.com/doifinder/10.1038/nphoton.2013.112
A. Szameit, M. Tillmann, B. Dakic, R. Heilmann, S. Nolte, P. Walther, Experimental boson sampling. Nat. Photonics 70(7), 540–544 (2013)
J. Sun, E. Timurdogan, A. Yaacobi, E.S. Hosseini, M.R. Watts, Large-scale nanophotonic phased array. Nature 4930(7431), 195–199 (2013)
S. Han, T.J. Seok, N. Quack, B.-W. Yoo, M.C. Wu, Large-scale silicon photonic switches with movable directional couplers. Optica 20(4), 370–375 (2015)
A.K. Ekert, Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 670(6), 661–663 (1991)
C.H. Bennett, G. Brassard, N.D. Mermin, Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. 680(5), 557–559 (1992)
C.H. Bennett, D.P. DiVincenzo, Quantum information and computation. Nature 4040(6775), 247–255 (2000)
V. Giovannetti, S. Lloyd, L. Maccone, Advances in quantum metrology. Nat. Photonics 50(4), 222–229 (2011)
A. Aspuru-Guzik, P. Walther, Photonic quantum simulators. Nat. Phys. 80(4), 285–291 (2012)
E. Knill, R. Laflamme, G.J. Milburn, A scheme for efficient quantum computation with linear optics. Nature 4090(6816), 46–52 (2001)
R. Horodecki, P. Horodecki, M. Horodecki, Quantum entanglement. Rev. Modern Phys. 81, 865–942 (2009)
M.D. Eisaman, J. Fan, A. Migdall, S.V. Polyakov, Invited review article: single-photon sources and detectors. Rev. Sci. Instrum. 820(7), 071101 (2011)
A.L. Migdall, D. Branning, S. Castelletto, Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source. Phys. Rev. A (2002)
D. Bonneau, G.J. Mendoza, J.L. O’Brien, M.G. Thompson, Effect of Loss on Multiplexed Single-Photon Sources. Sept 2014
J. Mower, D. Englund, Efficient generation of single and entangled photons on a silicon photonic integrated chip. Phys. Rev. A 840(5) (2011)
P.P. Rohde, L.G. Helt, M.J. Steel, A. Gilchrist, Multiplexed single-photon state preparation using a fibre-loop architecture, arXiv.org. March 2015
R.J.A. Francis-Jones, P.J. Mosley, Temporal Loop Multiplexing: A resource efficient scheme for multiplexed photon-pair sources, arXiv.org. March 2015
X. Zhang, I. Jizan, J. He, A.S. Clark, D.Y. Choi, C.J. Chae, B.J. Eggleton, C. Xiong, Enhancing the heralded single-photon rate from a silicon nanowire by time and wavelength division multiplexing pump pulses. Opt. Lett. 400(11), 2489–2492 (2015)
G.J. Mendoza, R. Santagati, J. Munns, E. Hemsley, M. Piekarek, E. Martn-López, G.D. Marshall, D. Bonneau, M.G. Thompson, J.L. O’Brien, Active temporal multiplexing of photons, arXiv.org. March 2015
X.-S. Ma, S. Zotter, J. Kofler, T. Jennewein, A. Zeilinger, Experimental generation of single photons via active multiplexing. Phys. Rev. A 830(4), 043814 (2011)
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, B.J. Eggleton, Integrated spatial multiplexing of heralded single-photon sources. Nat. Commun. 4 SP -0 (2582) (2013)
T. Meany, L.A. Ngah, M.J. Collins, A.S. Clark, R.J. Williams, B.J. Eggleton, M.J. Steel, M.J. Withford, O. Alibart, S. Tanzilli, Hybrid photonic circuit for multiplexed heralded single photons. Laser Photonics Rev. 80(3), L42–L46 (2014)
C.K. Hong, Z.Y. Ou, L. Mandel, Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 590(18), 2044–2046 (1987)
S. Tanzilli, H. De Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. De Micheli, D.B. Ostrowsky, N. Gisin, Highly efficient photon-pair source using periodically poled lithium niobate waveguide. Electron. Lett. 370(1), 26–28 (2001)
J.P. Sprengers, D. Sahin, A. Gaggero, S. Jahanmirinejad, G. Frucci, F. Mattioli, R. Leoni, J. Beetz, M. Lermer, M. Kamp, S. Höfling, R. Sanjines, R Sanjines, A. Fiore, Waveguide superconducting single-photon detectors for integrated quantum photonic circuits. Appl. Phys. Lett. 990(18), 181110–181110 (2011)
J.E. Sharping, K.F. Lee, M.A. Foster, A.C. Turner, B.S. Schmidt, M. Lipson, A.L. Gaeta, P. Kumar, Generation of correlated photons in nanoscale silicon waveguides. Opt. Express 140(25), 12388–12393 (2006)
D. Bonneau, M.G. Thompson, E. Engin, K. Ohira, H. Yoshida, N. Iizuka, M. Ezaki, C.M. Natarajan, M.G. Tanner, R.H. Hadfield, S.N. Dorenbos, V. Zwiller, J.L. O’Brien, Quantum interference and manipulation of entanglement in silicon wire waveguide quantum circuits. New J. Phys. 140(4), 045003 (2012)
W.H.P. Pernice, C. Schuck, O. Minaeva, M. Li, G.N. Gol’tsman, A.V. Sergienko, High-speed and high-efficiency travelling wave single-photon detectors embedded in nanophotonic circuits. Nat. Commun. 3, 1325 (2012)
H. Jin, F.M. Liu, P. Xu, J.L. Xia, M.L. Zhong, Y. Yuan, J.W. Zhou, Y.X. Gong, W. Wang, S.N. Zhu, On-Chip Generation and manipulation of entangled photons based on reconfigurable lithium-niobate waveguide circuits. Phys. Rev. Lett. 1130(10), 103601 (2014)
A. Martin, O. Alibart, M.P. De Micheli, D.B. Ostrowsky, S. Tanzilli, A quantum relay chip based on telecommunication integrated optics technology. New J. Phys. 140(2), 025002 (2012)
M.G. Tanner, L.S.E. Alvarez, W. Jiang, R.J. Warburton, Z.H. Barber, R.H. Hadfield, A superconducting nanowire single photon detector on lithium niobate. Nanotechnology 230(50), 505201 (2012)
S. Ramelow, A. Farsi, S. Clemmen, K. Luke, M. Lipson, A.L. Gaeta, Monolithic Source of Tunable Narrowband Photons for Future Quantum Networks. CLEO: 2015 (2015), paper FM2A.7, p. FM2A.7, May 2015
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, B.J. Eggleton, A compact and reconfigurable silicon nitride time-bin entanglement circuit, arXiv.org. June 2015
O. Kahl, S. Ferrari, V. Kovalyuk, G.N. Goltsman, A. Korneev, W.H.P. Pernice, Waveguide integrated superconducting single-photon detectors with high internal quantum efficiency at telecom wavelengths. Sci. Rep. 5, 10941 (2015)
J.B. Spring, P. Salter, P. Mennea, B. Metcalf, P.C. Humphreys, M. Moore, J.C. Gates, N. Thomsa-Peter, M. Barbieri, X.-M. Jin, N.K. Langford, S.W. Kolthammer, P.G. Smith, M. Booth, B.J. Smith, I.A. Walmsley, Quantum interference of multiple on-chip heralded sources of pure single photons. Research in Optical Sciences (2014), paper QW1B.6, p. QW1B.6, March 2014
T. Gerrits, N. Thomas-Peter, J.C. Gates, A.E. Lita, B.J. Metcalf, B. Calkins, N.A. Tomlin, A.E. Fox, A.L. Linares, J.B. Spring, N.K. Langford, R.P. Mirin, P.G.R. Smith, I.A. Walmsley, S.W. Nam, On-chip, photon-number-resolving, telecommunication-band detectors for scalable photonic information processing. Phys. Rev. A 840(6), 060301 (2011)
J. Wang, A. Santamato, P. Jiang, D. Bonneau, E. Engin, J.W. Silverstone, M. Lermer, J. Beetz, M. Kamp, S. Höfling, M.G. Tanner, C.M. Natarajan, R.H. Hadfield, S.N. Dorenbos, V. Zwiller, J.L. O’Brien, M.G. Thompson, Gallium arsenide (GaAs) quantum photonic waveguide circuits. Opt. Commun. 327, 49–55 (2014)
G. Reithmaier, S. Lichtmannecker, T. Reichert, P. Hasch, K. Müller, M. Bichler, R. Gross, J.J. Finley, On-chip time resolved detection of quantum dot emission using integrated superconducting single photon detectors. Sci. Rep. 3 (2013)
J.M. Shainline, J.S. Orcutt, M.T. Wade, K. Nammari, B. Moss, M. Georgas, C. Sun, R.J. Ram, V. Stojanovic’, M.A. Popovic’, Depletion-mode carrier-plasma optical modulator in zero-change advanced CMOS. Opt. Lett. 380(15), 2657–2659 (2013)
Kok, P. et al. Linear optical quantum computing with photonic qubits. Rev. Modern Phys. 79, 135–174 (2007)
T.C. Ralph, T.B. Bell, A.G. White, Linear optical controlled-NOT gate in the coincidence basis. Phys. Rev. A 650(6) (2002)
X. Xu, T. Zhong, Z. Xie, J. Zheng, J. Liang, M. Yu, S. Kocaman, G.-Q. Lo, D.-L. Kwong, D.R. Englund, F.N.C. Wong, C.W. Wong, Near-infrared Hong-Ou-Mandel interference on a silicon quantum photonic chip. Opt. Express 210(4), 5014–5024 (2013)
A.L. Migdall, D. Branning, S. Castelletto, Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source. Phys. Rev. A 66, 053805+ (2002). doi:10.1103/PhysRevA.66.053805. http://dx.doi.org/10.1103/PhysRevA.66.053805
K. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, S. Itabashi, Indistinguishable photon pair generation using two independent silicon wire waveguides. New J. Phys. 130(6), 065005 (2011)
K. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, S. Itabashi, Generation of high-purity entangled photon pairs using silicon wire waveguide. Opt. Express 160(25), 20368–20373 (2008)
S. Clemmen, K.P. Huy, W. Bogaerts, R.G. Baets, P. Emplit, S. Massar, Continuous wave photon pair generation in silicon-on-insulator waveguides and ring resonators. Opt. Express 170(19), 16558–16570 (2009)
L. Olislager, J. Safioui, S. Clemmen, K.P. Huy, W. Bogaerts, R. Baets, P. Emplit, S. Massar, Silicon-on-insulator integrated source of polarization-entangled photons. Opt. Lett. 380(11), 1960–1962 (2013)
J.W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C.M. Natarajan, M.G. Tanner, R.H. Hadfield, V. Zwiller, V. Zwiller, G.D. Marshall, J.G. Rarity, J.L. O’Brien, M.G. Thompson, On-chip quantum interference between silicon photon-pair sources. Nat. Photonics 80(2), 104–108 (2014)
N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W.J. Munro, K. Shimizu, K. Yamada, Y. Tokura, H. Takesue, A monolithically integrated polarization entangled photon pair source on a silicon chip. Sci. Rep. 2, 817 (2012)
N. Matsuda, P. Karkus, H. Nishi, T. Tsuchizawa, W.J. Munro, H. Takesue, K. Yamada, On-chip generation and demultiplexing of quantum correlated photons using a silicon-silica monolithic photonic integration platform. Opt. Express 220(19), 22831–22840 (2014)
S. Azzini, D. Grassani, M.J. Strain, M. Sorel, L.G. Helt, J.E. Sipe, M. Liscidini, M. Galli, D. Bajoni, Ultra-low power generation of twin photons in a compact silicon ring resonator. Opt. Express 200(21), 23100–23107 (2012)
D. Grassani, S. Azzini, M. Liscidini, M. Galli, M.J. Strain, M. Sorel, J.E. Sipe, D. Bajoni, Micrometer-scale integrated silicon source of time-energy entangled photons. Optica 20(2), 88 (2015)
R. Wakabayashi, M. Fujiwara, K. Yoshino, Y. Nambu, M. Sasaki, T. Aoki, Time-bin entangled photon pair generation from Si micro-ring resonator. Opt. Express 230(2), 1103 (2015)
S.F. Preble, M.L. Fanto, J.A. Steidle, C.C. Tison, G.A. Howland, Z. Wang, P.M. Alsing, On-chip quantum interference from a single silicon ring resonator source, arXiv.org. April 2015
N.C. Harris, D. Grassani, A. Simbula, M. Pant, M. Galli, T. Baehr-Jones, M. Hochberg, D. Englund, D. Bajoni, C. Galland, Integrated source of spectrally filtered correlated photons for large-scale quantum photonic systems. Phys. Rev. X 40(4), 041047 (2014)
E. Engin, D. Bonneau, C.M. Natarajan, A.S. Clark, M.G. Tanner, R.H. Hadfield, S.N. Dorenbos, V. Zwiller, K. Ohira, H. Yoshida, N. Iizuka, M. Ezaki, J.L. O’Brien, M.G. Thompson, Photon pair generation in a silicon micro-ring resonator with reverse bias enhancement. Opt. Express 210(23), 27826–27834 (2013)
J.W. Silverstone, R. Santagati, D. Bonneau, M.J. Strain, M. Sorel, J.L. O’Brien, M.G. Thompson, Qubit entanglement on a silicon photonic chip, arXiv.org. Oct 2014
C. Reimer, L. Caspani, M. Clerici, M. Ferrera, M. Kues, M. Peccianti, A. Pasquazi, L. Razzari, B.E. Little, S.T. Chu, D.J. Moss, R. Morandotti, Integrated frequency comb source of heralded single photons. Opt. Express 220(6), 6535–6546 (2014)
R. Kumar, J.R. Ong, M. Savanier, S. Mookherjea, Controlling the spectrum of photons generated on a silicon nanophotonic chip. Nat. Commun. 5, 5489 (2014)
M. Davanco, J.R. Ong, A.B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W.M.J. Green, S. Mookherjea, K. Srinivasan, Telecommunications-band heralded single photons from a silicon nanophotonic chip. Appl. Phys. Lett. 1000(26) (2012)
W.C. Jiang, X. Lu, J. Zhang, O. Painter, Q. Lin, A silicon-chip source of bright photon-pair comb, arXiv.org. Oct 2012
W.C. Jiang, X. Lu, J. Zhang, O. Painter, Q. Lin, Photon-pair comb generation in a silicon microdisk resonator. CLEO: 2013 (2013), paper CF2Â M.3, p. CF2Â M.3, June 2013
S. Rogers, X. Lu, W.C. Jiang, Q. Lin, Twin photon pairs in a high-q silicon microresonator. Appl. Phys. Lett. 1070(4), 041102 (2015). doi:http://dx.doi.org/10.1063/1.4927540. http://scitation.aip.org/content/aip/journal/apl/107/4/10.1063/1.4927540
S. Azzini, D. Grassani, M. Galli, D. Gerace, M. Patrini, M. Liscidini, P. Velha, D. Bajoni, Stimulated and spontaneous four-wave mixing in silicon-on-insulator coupled photonic wire nano-cavities. Appl. Phys. Lett. 3, 2013 (1030)
C. Xiong, C. Monat, A.S. Clark, C. Grillet, G.D. Marshall, M.J. Steel, J. Li, L. O’Faolain, T. F Krauss, B.J. Eggleton, Slow-light enhanced correlated photon pair generation in a silicon photonic crystal waveguide. Opt. Lett. 360(17), 3413–3415 (2011)
N. Matsuda, N. Matsuda, H. Takesue, K. Shimizu, K. Shimizu, Y. Tokura, Y. Tokura, E. Kuramochi, M. Notomi, Slow light enhanced correlated photon pair generation in photonic-crystal coupled-resonator optical waveguides. Opt. Express 210(7), 8596–8604 (2013)
H. Takesue, N. Matsuda, E. Kuramochi, M. Notomi, Entangled photons from on-chip slow light. Sci. Rep. 4, 3913 (2014)
M.A. Foster, A.C. Turner, J.E. Sharping, B.S. Schmidt, M. Lipson, A.L. Gaeta, Broad-band optical parametric gain on a silicon photonic chip. Nature 4410(7096), 960–963 (2006). ISSN 0028-0836. doi:10.1038/nature04932. http://dx.doi.org/10.1038/nature04932
H. Fukuda, K. Yamada, T. Shoji, M. Takahashi, T. Tsuchizawa, T. Watanabe, J. Takahashi, S. Itabashi, Four-wave mixing in silicon wire waveguides. Opt. Express 130(12), 4629–4637 (2005). doi:10.1364/OPEX.13.004629. http://dx.doi.org/10.1364/OPEX.13.004629
M. Dinu, F. Quochi, H. Garcia. Third-order nonlinearities in silicon at telecom wavelengths. Appl. Phys. Lett. 820(18), 2954–2956 (2003). ISSN 00036951. doi:10.1063/1.1571665. http://dx.doi.org/10.1063/1.1571665
H.K. Tsang, C.S. Wong, T.K. Liang, I.E. Day, S.W. Roberts, A. Harpin, J. Drake, M. Asghari, Optical dispersion, two-photon absorption and self-phase modulation in silicon waveguides at 1.5 μm wavelength. Appl. Phys. Lett. 800(3), 416–418 (2002). doi:10.1063/1.1435801. http://dx.doi.org/10.1063/1.1435801
M. Liscidini, L.G. Helt, J.E. Sipe, Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena. Phys. Rev. A 85, 013833+ (2012). doi:10.1103/PhysRevA.85.013833. http://dx.doi.org/10.1103/PhysRevA.85.013833
J. Hansryd, P.A. Andrekson, M. Westlund, J. Li, P.O. Hedekvist, Fiber-based optical parametric amplifiers and their applications. IEEE J. Sel. Top. Quantum Electron. 80(3), 506–520 (2002). ISSN 1077-260X. doi:10.1109/JSTQE.2002.1016354. http://dx.doi.org/10.1109/JSTQE.2002.1016354
C.A. Husko, A.S. Clark, M.J. Collins, A. De Rossi, S. Combrie, G. Lehoucq, I.H. Rey, T.F. Krauss, C. Xiong, B.J. Eggleton, Multi-photon absorption limits to heralded single photon sources. Sci. Rep. 3 (2013)
I.D. Rukhlenko, M. Premaratne, G.P. Agrawal, Analytical study of optical bistability in silicon ring resonators. Opt. Lett. 350(1), 55–57 (2010). doi:10.1364/ol.35.000055. http://dx.doi.org/10.1364/ol.35.000055
Ö. Boyraz, P. Koonath, V. Raghunathan, B. Jalali, All optical switching and continuum generation in silicon waveguides. Opt. Express 120(17), 4094–4102 (2004)
W.H.P. Pernice, M. Li, H.X. Tang, Time-domain measurement of optical transport in silicon micro-ring resonators. Opt. Express 180(17), 18438–18452 (2010)
W. Mauerer, M. Avenhaus, W. Helwig, C. Silberhorn, How colors influence numbers: photon statistics of parametric down-conversion. Phys. Rev. A 800(5) (2009). ISSN 1050-2947. doi:10.1103/physreva.80.053815. http://dx.doi.org/10.1103/physreva.80.053815
C. Gerry, P. Knight, Introductory Quantum Optics (Cambridge University Press, 2004). ISBN 052152735X. http://www.worldcat.org/isbn/052152735X
T.B. Jones, M. Hochberg, C. Walker, A. Scherer, High-Q ring resonators in thin silicon-on-insulator. Appl. Phys. Lett. 850(16), 3346–3347 (2004). doi:10.1063/1.1781355. http://dx.doi.org/10.1063/1.1781355
S. Xiao, M.H. Khan, H. Shen, M. Qi, Compact silicon microring resonators with ultra-low propagation loss in the C band. Opt. Express 150(22), 14467–14475 (2007). doi:10.1364/OE.15.014467. http://dx.doi.org/10.1364/OE.15.014467
L.G. Helt, J.E. Sipe, Z. Yang, M. Liscidini,Spontaneous four-wave mixing in microring resonators. Opt. Lett. 350(18), 3006–3008 (2010)
M. Liscidini, L.G. Helt, J.E. Sipe, Asymptotic fields for a Hamiltonian treatment of nonlinear electromagnetic phenomena. Phys. Rev. A 850(1), 013833 (2012)
L.G. Helt, Z. Yang, M. Liscidini, J.E. Sipe, Spontaneous four-wave mixing in microring resonators. Opt. Lett. 350(18), 3006–3008 (2010). doi:10.1364/OL.35.003006. http://dx.doi.org/10.1364/OL.35.003006
P.J. Mosley, J.S. Lundeen, B.J. Smith, P. Wasylczyk, A.B. U’Ren, C. Silberhorn, I.A. Walmsley, Heralded Generation of ultrafast single photons in pure quantum states. Phys. Rev. Lett. 1000(13), 133601+ (2008). doi:10.1103/PhysRevLett.100.133601. http://dx.doi.org/10.1103/PhysRevLett.100.133601
M.G. Raymer, J. Noh, K. Banaszek, I.A. Walmsley, Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity. Phys. Rev. A 72, 023825+ (2005). doi:10.1103/physreva.72.023825. http://dx.doi.org/10.1103/physreva.72.023825
M.U. Karelin, The schmidt number of pure continuous-variable bipartite entangled states and the method of its calculation. Opt. Spectrosc. 1030(2), 193–195 (2007). doi:10.1134/s0030400x07080048. http://dx.doi.org/10.1134/s0030400x07080048
A. Ekert, P.L. Knight, Entangled quantum systems and the Schmidt decomposition. Am. J. Phys. 630(5), 415–423 (1995). ISSN 00029505. doi:10.1119/1.17904. http://dx.doi.org/10.1119/1.17904
G.N. Gol’tsman, O. Okunev, G. Chulkova, A. Lipatov, A. Semenov, K. Smirnov, B. Voronov, A. Dzardanov, C. Williams, R. Sobolewski, Picosecond superconducting single-photon optical detector. Appl. Phys. Lett. 790(6), 705–707 (2001)
R.M. Heath, M.G. Tanner, T.D. Drysdale, S. Miki, V. Giannini, S.A. Maier, R.H. Hadfield, Nanoantenna enhancement for telecom-wavelength superconducting single photon detectors. Nano Lett. 150(2), 819–822 (2015)
P. Rath, O. Kahl, S. Ferrari, F. Sproll, G. Lewes-Malandrakis, D. Brink, K. Ilin, M. Siegel, C. Nebel, W. Pernice, Superconducting single photon detectors integrated with diamond nanophotonic circuits, arXiv.org. May 2015
F. Marsili, V.B. Verma, J.A. Stern, S. Harrington, A.E. Lita, T. Gerrits, I. Vayshenker, B. Baek, M.D. Shaw, R.P. Mirin, S.W. Nam, Detecting single infrared photons with 93 % system efficiency. Nat. Photonics 70(3), 210–214 (2013)
V.B. Verma, B. Korzh, F. Bussières, R.D. Horansky, A.E. Lita, F. Marsili, M.D. Shaw, H. Zbinden, R.P. Mirin, S.W. Nam. High-efficiency WSi superconducting nanowire single-photon detectors operating at 2.5 K. Appl. Phys. Lett. 1050(12), 122601 (2014)
A. Beyer, R. Briggs, F. Marsili, J.D. Cohen, S.M. Meenehan, O.J. Painter, M. Shaw, Waveguide-coupled superconducting nanowire single-photon detectors. CLEO: 2015, p. STh1I.2 (2015)
V.B. Verma, B. Korzh, F. Bussières, R.D. Horansky, S.D. Dyer, A.E. Lita, I. Vayshenker, F. Marsili, M.D. Shaw, H. Zbinden, R.P. Mirin, S.W. Nam, High-efficiency superconducting nanowire single-photon detectors fabricated from MoSi thin-films, arXiv.org. April 2015
P. Yu Korneeva, M. Yu Mikhailov, P.Yu Pershin, N.N. Manova, A.V. Divochiy, B. Yu Vakhtomin, A.A. Korneev, K.V. Smirnov, A.G. Sivakov, A. Yu Devizenko, G.N. Gol’tsman. Superconducting single-photon detector made of MoSi film. Supercond. Sci. Technol. 270(9), 095012 (2014)
V.B. Verma, A.E. Lita, M.R. Vissers, F. Marsili, D.P. Pappas, R.P. Mirin, S.W. Nam, Superconducting nanowire single photon detectors fabricated from an amorphous Mo0.75Ge0.25 thin film. Appl. Phys. Lett. 1050(2), 022602 (2014)
F. Najafi, J. Mower, N.C. Harris, F. Bellei, A. Dane, C. Lee, X. Hu, P. Kharel, F. Marsili, S. Assefa, K.K. Berggren, D. Englund, On-chip detection of non-classical light by scalable integration of single-photon detectors. Nat. Commun. 6, 5873 (2015)
N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W.J. Munro, K. Shimizu, K. Yamada, Y. Tokura, H. Takesue, A monolithically integrated polarization entangled photon pair source on a silicon chip. Sci. Rep. 2 (2012). ISSN 2045-2322. doi:10.1038/srep00817. http://dx.doi.org/10.1038/srep00817
J.W. Silverstone, R. Santagati, D. Bonneau, M.J. Strain, M. Sorel, J.L. O’Brien, M.G. Thompson, Qubit entanglement between ring-resonator photon-pair sources on a silicon chip. Nat. Commun. 1–7 (2015). doi:10.1038/ncomms8948
J. Silverstone, R. Santagati, D. Bonneau, M. Sasaki, M. Sorel, M.J. Strain, S. Miki, T. Yamashita, M. Fujiwara, H. Terai, M.G. Tanner, C. Natarajan, R.H. Hadfield, J.L. O’Brien, M.G. Thompson, Photonic qubit entanglement and processing in silicon waveguides, in Integrated Photonics Research, Silicon and Nano-Photonics, p. IS4A.5. Boston (2015)
D.F.V. James, P.G. Kwiat, W.J. Munro, A.G. White, Measurement of qubits. Phys. Rev. A (2001)
J.S. Pelc, K. Rivoire, S. Vo, C. Santori, D.A. Fattal, R.G. Beausoleil, Picosecond all-optical switching in hydrogenated amorphous silicon microring resonators. Opt. Express (2014)
T.W. Baehr-Jones, M.J. Hochberg, Polymer silicon hybrid systems: a platform for practical nonlinear optics. J. Phys. Chem. C 1120(21), 8085–8090 (2008)
B. Chmielak, M. Waldow, C. Matheisen, C. Ripperda, J. Bolten, T. Wahlbrink, M. Nagel, F. Merget, H. Kurz, Pockels effect based fully integrated, strained silicon electro-optic modulator. Opt. Express 190(18), 17212–17219 (2011)
C. Xiong, W.H.P. Pernice, J.H Ngai, J.W. Reiner, D. Kumah, F.J. Walker, C.H. Ahn, Active silicon integrated Nanophotonics: ferroelectric BaTiO3 devices. Nano Lett. 140205130629005 (2014)
K. Van Acoleyen, J. Roels, P. Mechet, T. Claes, D. van Thourhout, R. Baets, Ultracompact phase modulator based on a cascade of NEMS-operated slot waveguides fabricated in silicon-on-insulator. Photonics J. IEEE 40(3), 779–788 (2012)
T. Yamashita, S. Miki, H. Terai, K. Makise, Z. Wang, Crosstalk-free operation of multielement superconducting nanowire single-photon detector array integrated with single-flux-quantum circuit in a 0.1 W Gifford–McMahon cryocooler. Opt. Lett. 370(14), 2982–2984 (2012)
X. Sun, X. Zhang, C. Schuck, H.X. Tang, Nonlinear optical effects of ultrahigh-Q silicon photonic nanocavities immersed in superfluid helium. Sci. Rep. 3 (2013)
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Bonneau, D., Silverstone, J.W., Thompson, M.G. (2016). Silicon Quantum Photonics. In: Pavesi, L., Lockwood, D. (eds) Silicon Photonics III. Topics in Applied Physics, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10503-6_2
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