Abstract

We present a simple technique to reduce the emission rate of higher-order photon events from pulsed spontaneous parametric down-conversion. The technique uses extra-cavity control over a mode locked ultrafast laser to simultaneously increase repetition rate and reduce the energy of each pulse from the pump beam. We apply our scheme to a photonic quantum gate, showing improvements in the non-classical interference visibility for 2-photon and 4-photon experiments, and in the quantum-gate fidelity and entangled state production in the 2-photon case.

© 2011 OSA

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  3. P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
    [CrossRef] [PubMed]
  4. C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
    [CrossRef] [PubMed]
  5. K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
    [CrossRef]
  6. J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
    [CrossRef]
  7. A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
    [CrossRef]
  8. C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, “Stable solid-state source of single photons,” Phys. Rev. Lett. 85, 290–293 (2000).
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  9. J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
    [CrossRef] [PubMed]
  10. C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
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    [CrossRef]
  25. 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 (2002).
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  26. T. Jennewein, M. Barbieri, and A. G. White, “Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis,” J. Mod. Opt. 58, 276–287 (2011).
    [CrossRef]
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    [CrossRef]
  30. P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
    [CrossRef]
  31. N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
    [CrossRef] [PubMed]
  32. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
    [CrossRef] [PubMed]
  33. A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
    [CrossRef]
  34. S. M. Tan, “A computational toolbox for quantum and atomic optics,” J. Opt. B: Quantum Semiclasss Opt. 1 (1999).
  35. J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
    [PubMed]
  36. Giga Optics Website, http://www.gigaoptics.com/ (2011).

2011

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

T. Jennewein, M. Barbieri, and A. G. White, “Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis,” J. Mod. Opt. 58, 276–287 (2011).
[CrossRef]

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

A. Brańczyk, A. Fedrizzi, T. Stace, T. Ralph, and A. White, “Engineered optical nonlinearity for quantum light sources,” Opt. Express 19, 55–65 (2011).
[CrossRef]

2010

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
[CrossRef]

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

2009

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

2007

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, H. Takahashi, A. I. Vistnes, and E. S. Polzik, “High purity bright single photon source,” Opt. Express 15, 7940–7949 (2007).
[CrossRef] [PubMed]

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of fourier-transform-limited heralded single photons,” Phys. Rev. A 75, 023810 (2007).
[CrossRef]

2006

A. B. U’Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, “Generation of two-photon states with an arbitrary degree of entanglement via nonlinear crystal superlattices,” Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef]

2005

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Heralding single photons from pulsed parametric down-conversion,” Opt. Commun. 246, 545–550 (2005).
[CrossRef]

B. Lounis and M. Orrit, “Single-photon sources,”Rep. Prog. Phys. 68, 1129 (2005).
[CrossRef]

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

2004

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
[CrossRef] [PubMed]

A. B. U’Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks,” Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

2002

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

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 (2002).
[CrossRef]

2001

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

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[CrossRef]

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64, 063815 (2001).
[CrossRef]

2000

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, “Limitations on practical quantum cryptography,” Phys. Rev. Lett. 85, 1330–1333 (2000).
[CrossRef] [PubMed]

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

B. Lounis and W. E. Moerner, “Single photons on demand from a single molecule at room temperature,” Nature 407, 491–493 (2000).
[CrossRef] [PubMed]

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, “Stable solid-state source of single photons,” Phys. Rev. Lett. 85, 290–293 (2000).
[CrossRef] [PubMed]

1999

S. M. Tan, “A computational toolbox for quantum and atomic optics,” J. Opt. B: Quantum Semiclasss Opt. 1 (1999).

1987

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

Aichele, T.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Almeida, M. P.

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

Banaszek, K.

A. B. U’Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks,” Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

Barbieri, M.

T. Jennewein, M. Barbieri, and A. G. White, “Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis,” J. Mod. Opt. 58, 276–287 (2011).
[CrossRef]

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

Bazin, M.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Bennink, R. S.

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

Benson, O.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Beveratos, A.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Bleuse, J.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Boca, A.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Boozer, A. D.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Branczyk, A.

A. Brańczyk, A. Fedrizzi, T. Stace, T. Ralph, and A. White, “Engineered optical nonlinearity for quantum light sources,” Opt. Express 19, 55–65 (2011).
[CrossRef]

A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
[CrossRef]

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 (2002).
[CrossRef]

Brassard, G.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, “Limitations on practical quantum cryptography,” Phys. Rev. Lett. 85, 1330–1333 (2000).
[CrossRef] [PubMed]

Brouri, R.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Buck, J. R.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Buckley, S.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

Buratto, S. K.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Carson, P. J.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [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 (2002).
[CrossRef]

Chou, C. W.

C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
[CrossRef] [PubMed]

Claudon, J.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

de la Cruz-Gutierrez, M.

A. B. U’Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, “Generation of two-photon states with an arbitrary degree of entanglement via nonlinear crystal superlattices,” Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef]

Doherty, A. C.

T. J. Weinhold, A. Gilchrist, K. J. Resch, A. C. Doherty, J. L. O’Brien, G. J. Pryde, and A. G. White, “Understanding photonic quantum-logic gates: The road to fault tolerance,” arXiv:0808.0794v1 [quant-ph].

Dowling, J. P.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

Erdmann, R. K.

A. B. U’Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, “Generation of two-photon states with an arbitrary degree of entanglement via nonlinear crystal superlattices,” Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef]

Evans, P. G.

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

Fattal, D.

C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Fedrizzi, A.

Franson, J. D.

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Heralding single photons from pulsed parametric down-conversion,” Opt. Commun. 246, 545–550 (2005).
[CrossRef]

Gacoin, T.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Garcia-Gracia, H.

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of fourier-transform-limited heralded single photons,” Phys. Rev. A 75, 023810 (2007).
[CrossRef]

Gerard, J.-M.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Gilchrist, A.

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

T. J. Weinhold, A. Gilchrist, K. J. Resch, A. C. Doherty, J. L. O’Brien, G. J. Pryde, and A. G. White, “Understanding photonic quantum-logic gates: The road to fault tolerance,” arXiv:0808.0794v1 [quant-ph].

Götzinger, S.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Grangier, P.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Gregersen, N.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Grice, W. P.

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64, 063815 (2001).
[CrossRef]

Hansen, H.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Helwig, W.

A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
[CrossRef]

Hong, C. K.

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

Humble, T. S.

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

Ikonen, E.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Imamoglu, A.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Jacobs, B. C.

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Heralding single photons from pulsed parametric down-conversion,” Opt. Commun. 246, 545–550 (2005).
[CrossRef]

Jaffrennou, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

James, D. F. V.

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

Jennewein, T.

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

T. Jennewein, M. Barbieri, and A. G. White, “Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis,” J. Mod. Opt. 58, 276–287 (2011).
[CrossRef]

Jeronimo-Moreno, Y.

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of fourier-transform-limited heralded single photons,” Phys. Rev. A 75, 023810 (2007).
[CrossRef]

Kim, H.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

Kimble, H. J.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
[CrossRef] [PubMed]

Knill, E.

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

Kofler, J.

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

Kok, P.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

Kühn, S.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Kurtsiefer, C.

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, “Stable solid-state source of single photons,” Phys. Rev. Lett. 85, 290–293 (2000).
[CrossRef] [PubMed]

Kuzmich, A.

C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
[CrossRef] [PubMed]

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Laflamme, R.

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

Lalanne, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Langford, N. K.

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

Lanyon, B. P.

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

Lettow, R.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Lounis, B.

B. Lounis and M. Orrit, “Single-photon sources,”Rep. Prog. Phys. 68, 1129 (2005).
[CrossRef]

B. Lounis and W. E. Moerner, “Single photons on demand from a single molecule at room temperature,” Nature 407, 491–493 (2000).
[CrossRef] [PubMed]

Lütkenhaus, N.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, “Limitations on practical quantum cryptography,” Phys. Rev. Lett. 85, 1330–1333 (2000).
[CrossRef] [PubMed]

Lvovsky, A. I.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Ma, X.-s.

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

Majumdar, A.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

Malik, N. S.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[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, 2044–2046 (1987).
[CrossRef] [PubMed]

Mason, M. D.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Mayer, S.

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, “Stable solid-state source of single photons,” Phys. Rev. Lett. 85, 290–293 (2000).
[CrossRef] [PubMed]

McKeever, J.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Michler, P.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Migdall, A. L.

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 (2002).
[CrossRef]

Milburn, G. J.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

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

Miller, R.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble, “Deterministic generation of single photons from one atom trapped in a cavity,” Science 303, 1992–1994 (2004).
[CrossRef] [PubMed]

Mlynek, J.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Moerner, W. E.

B. Lounis and W. E. Moerner, “Single photons on demand from a single molecule at room temperature,” Nature 407, 491–493 (2000).
[CrossRef] [PubMed]

Mor, T.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, “Limitations on practical quantum cryptography,” Phys. Rev. Lett. 85, 1330–1333 (2000).
[CrossRef] [PubMed]

Munro, W. J.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

Neergaard-Nielsen, J. S.

Nemoto, K.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

Nielsen, B. M.

O’Brien, J. L.

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

T. J. Weinhold, A. Gilchrist, K. J. Resch, A. C. Doherty, J. L. O’Brien, G. J. Pryde, and A. G. White, “Understanding photonic quantum-logic gates: The road to fault tolerance,” arXiv:0808.0794v1 [quant-ph].

Orrit, M.

B. Lounis and M. Orrit, “Single-photon sources,”Rep. Prog. Phys. 68, 1129 (2005).
[CrossRef]

Ou, Z. Y.

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

Ou, Z.-Y. J.

Z.-Y. J. Ou, Multi-Photon Quantum Interference, 1st ed. (Springer, 2010).

Petroff, P.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

Pittman, T. B.

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Heralding single photons from pulsed parametric down-conversion,” Opt. Commun. 246, 545–550 (2005).
[CrossRef]

Poizat, J.-P.

A. Beveratos, S. Kühn, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Room temperature stable single-photon source,” Eur. Phys. J. D 18, 191–196 (2002).
[CrossRef]

Polyakov, S. V.

C. W. Chou, S. V. Polyakov, A. Kuzmich, and H. J. Kimble, “Single-photon generation from stored excitation in an atomic ensemble,” Phys. Rev. Lett. 92, 213601 (2004).
[CrossRef] [PubMed]

Polzik, E. S.

Prevedel, R.

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

Pryde, G. J.

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

T. J. Weinhold, A. Gilchrist, K. J. Resch, A. C. Doherty, J. L. O’Brien, G. J. Pryde, and A. G. White, “Understanding photonic quantum-logic gates: The road to fault tolerance,” arXiv:0808.0794v1 [quant-ph].

Ralph, T.

A. Brańczyk, A. Fedrizzi, T. Stace, T. Ralph, and A. White, “Engineered optical nonlinearity for quantum light sources,” Opt. Express 19, 55–65 (2011).
[CrossRef]

A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
[CrossRef]

Ralph, T. C.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007).
[CrossRef]

J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93 (2004).
[PubMed]

Renn, A.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Resch, K. J.

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

T. J. Weinhold, A. Gilchrist, K. J. Resch, A. C. Doherty, J. L. O’Brien, G. J. Pryde, and A. G. White, “Understanding photonic quantum-logic gates: The road to fault tolerance,” arXiv:0808.0794v1 [quant-ph].

Rezus, Y. L. A.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Rivoire, K.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

Sanders, B. C.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, “Limitations on practical quantum cryptography,” Phys. Rev. Lett. 85, 1330–1333 (2000).
[CrossRef] [PubMed]

Sandoghdar, V.

R. Lettow, Y. L. A. Rezus, A. Renn, G. Zumofen, E. Ikonen, S. Götzinger, and V. Sandoghdar, “Quantum interference of tunably indistinguishable photons from remote organic molecules,” Phys. Rev. Lett. 104, 123605 (2010).
[CrossRef] [PubMed]

Santori, C.

C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Sauvan, C.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based ona quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177(2010).
[CrossRef]

Schaake, J.

P. G. Evans, R. S. Bennink, W. P. Grice, T. S. Humble, and J. Schaake, “Bright source of spectrally uncorrelated polarization-entangled photons with nearly single-mode emission,” Phys. Rev. Lett. 105, 253601 (2010).
[CrossRef]

Schiller, S.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, “Quantum state reconstruction of the single-photon fock state,” Phys. Rev. Lett. 87, 050402 (2001).
[CrossRef] [PubMed]

Silberhorn, C.

A. Brańczyk, T. Ralph, W. Helwig, and C. Silberhorn, “Optimized generation of heralded fock states using parametric down-conversion,” N. J. Phys. 12, 063001 (2010).
[CrossRef]

A. B. U’Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks,” Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

Solomon, G. S.

C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Stace, T.

Strouse, G. F.

P. Michler, A. Imamoglu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Takahashi, H.

Tan, S. M.

S. M. Tan, “A computational toolbox for quantum and atomic optics,” J. Opt. B: Quantum Semiclasss Opt. 1 (1999).

U’Ren, A. B.

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of fourier-transform-limited heralded single photons,” Phys. Rev. A 75, 023810 (2007).
[CrossRef]

A. B. U’Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, “Generation of two-photon states with an arbitrary degree of entanglement via nonlinear crystal superlattices,” Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef]

A. B. U’Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks,” Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64, 063815 (2001).
[CrossRef]

Vistnes, A. I.

Vuckovic, J.

K. Rivoire, S. Buckley, A. Majumdar, H. Kim, P. Petroff, and J. Vučković, “Fast quantum dot single photon source triggeredat telecommunications wavelength,” Appl. Phys. Lett. 98, 083105 (2011).
[CrossRef]

C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Walmsley, I. A.

A. B. U’Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, “Generation of two-photon states with an arbitrary degree of entanglement via nonlinear crystal superlattices,” Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef]

A. B. U’Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks,” Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64, 063815 (2001).
[CrossRef]

Weinfurter, H.

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[CrossRef]

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, “Stable solid-state source of single photons,” Phys. Rev. Lett. 85, 290–293 (2000).
[CrossRef] [PubMed]

Weinhold, T. J.

M. Barbieri, T. J. Weinhold, B. P. Lanyon, A. Gilchrist, K. J. Resch, M. P. Almeida, and A. G. White, “Parametric downconversion and optical quantum gates: two’s company, four’s a crowd,” J. Mod. Opt. 56, 209 – 214 (2009).
[CrossRef]

N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O’Brien, G. J. Pryde, and A. G. White, “Demonstration of a simple entangling optical gate and its use in bell-state analysis,” Phys. Rev. Lett. 95, 210504 (2005).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

Experimental scheme. a) Doubling the pump laser repetition rate. A Coherent MIRA 900 HP mode-locked Ti:Sapphire laser outputs approximately 3.8 W of 820 nm pulses with a repetition rate of 76 MHz and a pulse length of approximately 100 fs. This light is frequency doubled via second harmonic generation in a non-linear bismuth borate (BiBO) crystal giving 1.53 W centred at 410 nm. An optical delay loop, consisting of two beam-splitters and two high-precision mirrors, splits off half of the laser light and feeds it back to the pump mode with a 6.6 ns delay which is equal to half the initial separation between two pulses (approximately 2 m). Photon pairs are created via spontaneous parametric downconversion in a type-I phase-matched β-barium-borate crystal (BBO), pumped bidirectionally. The photons are sent through interference filters centred at 820 nm with a full-width at half-maximum (FWHM) bandwidth of 2.5 nm before being coupled into single mode optical fibers. Photon were counted using standard avalanche photo-diodes. The output of each detector is fed into a commercially available counting logic with a coincident time window of 3 ns. The 152 MHz source was pumped with a maximum power of 1.53 W, with approximately 50% of this power available in the 76 MHz regime. The two photon coincidence brightness were 38.4 counts/s/mW and 40.3 counts/s/mW for the 152 MHz and 76 MHz sources respectively. b) The repetition rate is increased by introducing additional 50:50 beam splitters for delay loops, where each delay decreases in length by a half with respect to the previous one. This scheme can increases the repetition rate R beyond a factor of two with no further overall loss in pump power.

Fig. 2
Fig. 2

Ratio of 4-photon to 2-photon events for varying photon source pump power with pump repetition rates of 76 MHz (red triangles) and 152 MHz (black circles). The red solid and black dashed lines show the theoretical predictions. Since the pump beam at 76 MHz is only one arm of the pulse doubling circuit, the maximum power available is equal to 50% of the total power at 152 MHz. Errors due to Poissonian counting statistics are not visible on this scale.

Fig. 3
Fig. 3

Schematic of the experimental setup. a) Input photons at modes a1 and b1 produced in a single down-conversion crystal; b) two independent photons are heralded at modes a1 and a2 by coincident detection of photons b1 and b2. c) A controlled-phase gate implemented by Hong-Ou-Mandel interference of the input modes at a partial polarised beam splitter (PPBS) using two different photon sources. Input photons are launched from single-mode optical fibres into the quantum gate, where one input arm is used to control the temporal delay, Δt, between the two interfering optical modes. The state preparation and tomography is implemented using quarter- (QWP) and half-wave plates (HWP) and polarising beam-splitters (PBS). The two input optical modes are superposed at a single partially polarizing beam splitter (PPBS) with nominal reflectivities of ηH=0 for horizontally, and ηV=2/3 for vertically polarized light respectively. Photons are detected using standard avalanche photo-diodes (APD).

Fig. 4
Fig. 4

Experimental data for Hong-Ou-Mandel visibilities, for varying photon source pump power, in a photonic controlled-phase gate. The two photon input state |VV〉 is interfered at a PPBS by reducing the relative path difference between the input photons. a) Interference visibilities for dependent photon inputs and b) visibilities for independent photon inputs for varying pump powers. Red triangles show results using a pump laser with a repetition rate of 76 MHz and black circles with a repetition rate of 152 MHz. The red solid and black dashed lines show the theoretical predictions and the errors are calculated using Poissonian counting statistics.

Fig. 5
Fig. 5

Photonic CZ gate performance for varying source pump powers and repetition rates. a) Photons from a dependent SPDC source are prepared in the initial state |DD〉. The state quality degrades as source pump power, and hence the relative number of higher-order terms, increases. This effect is suppressed by doubling the repetition rate of the source pump laser. Data was obtained with a pump laser at 76 MHz (triangles) and 152 MHz (circles). The dashed and solid lines show theoretical predictions. b) Similarly the process of the entangling operation performed by the gate degrades with source pump power. Red triangles show results using a pump laser with a repetition rate of 76 MHz and black circles with a repetition rate of 152 MHz, the red solid and black dashed lines show the theoretical predictions. Errors are calculated using Poissonian counting statistics.

Fig. 6
Fig. 6

a) Theoretical simulation of non-classical interference visibility in a controlled-phase gate from two independent photon sources. The visibility of interference is shown by the color scale and depends on both the detector efficiency and repetition rate of the laser. The simulation assumes an input state of |VV〉 from independent photon sources pumped with 100 % of the available pump power and detected with non-number resolving photodetectors. The free parameter in this plot is the optical loss which, fitted to the experimental data, is 40%. b) and c) show cross-sections of the simulated data, shown in a), for varying detector efficiency and varying pulse repetition rate respectively. The black marker in these plots shows the experimental data point taken from Fig.4 b)

Equations (14)

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H ^ = i ξ h ¯ ( a ^ 1 b ^ 1 + h . c . ) ,
| Ψ SPDC = 1 | λ | 2 n = 0 λ n | n , n a 1 , b 1
P ( n ) = ( 1 | λ | 2 ) | λ | 2 n .
C coinc = R n = 1 ( 1 ( 1 η ) n ) 2 P ( n ) ,
SNR η 2 ( 1 ( 1 η ) 2 ) 2 | λ | 2 .
C coinc = 2 R n = 1 ( 1 ( 1 η ) n ) 2 P ( n ) 2 n .
C coinc ( m ) = R n = 1 ( 1 ( 1 η ) n ) 2 P ( n ) m ( n 1 ) ,
SNR m η 2 ( 1 ( 1 η ) 2 ) 2 | λ | 2 .
F T r 2 ( ρ 1 / 2 ρ ideal ρ 1 / 2 )
H ^ = i ξ 1 h ¯ a ^ 1 b ^ 1 + i ξ 2 h ¯ a ^ 2 b ^ 2 + h . c . ,
| Ψ SPDC = ( 1 | λ 1 | 2 ) ( 1 | λ 2 | 2 ) n 1 = 0 λ n 1 | n 1 , n 1 a 1 , b 1 n 2 = 0 λ n 2 | n 2 , n 2 a 2 , b 2
P ( n 1 , n 2 ) = ( 1 | λ 1 | 2 ) ( 1 | λ 2 | 2 ) | λ 1 2 n | | λ 2 2 n | .
C coinc = R n 1 = 1 n 2 = 1 ( 1 ( 1 η ) n 1 ) 2 ( 1 ( 1 η ) n 2 ) 2 P ( n 1 , n 2 )
C coinc = 2 R n 1 = 1 n 2 = 1 ( 1 ( 1 η ) n 1 ) 2 ( 1 ( 1 η ) n 2 ) 2 2 n 1 + n 2 P ( n 1 , n 2 ) .

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