Abstract

Many applications in optical quantum information processing benefit from careful spectral shaping of single-photon wave-packets. In this paper we tailor the joint spectral wave-function of photons created in parametric downconversion by engineering the nonlinearity profile of a poled crystal. We design a crystal with an approximately Gaussian nonlinearity profile and confirm successful wave-packet shaping by two-photon interference experiments. We numerically show how our method can be applied for attaining one of the currently most important goals of single-photon quantum optics, the creation of pure single photons without spectral correlations.

© 2011 OSA

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  1. 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(1), 135 (pages 40) (2007).
    [Crossref]
  2. N. Gisin and R. Thew, “Quantum communication,” Nature Photonics 1(3), 165–171 (2007).
    [Crossref]
  3. B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
    [Crossref]
  4. T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
    [Crossref] [PubMed]
  5. G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photonics 4(4), 227–230 (2010).
    [Crossref]
  6. A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
    [Crossref] [PubMed]
  7. M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).
  8. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
    [Crossref]
  9. G. Imeshev, M. Fejer, A. Galvanauskas, and D. Harter, “Pulse shaping by difference-frequency mixing with quasi-phase-matching gratings,” J. Opt. Soc. Am. B 18(4), 534–539 (2001).
    [Crossref]
  10. P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
    [Crossref]
  11. M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
    [Crossref] [PubMed]
  12. The crystal was custom-made by Raicol Crystals Ltd., www.raicol.com .
  13. A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
    [Crossref]
  14. C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
    [Crossref] [PubMed]
  15. A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
    [Crossref]
  16. K. Wang, “Quantum theory of two-photon wavepacket interference in a beamsplitter,” J. Phys. B 39(18), R293–R324 (2006).
    [Crossref]
  17. A. Eckstein and C. Silberhorn, “Broadband frequency mode entanglement in waveguided parametric downconversion,” Opt. Lett. 33(16), 1825–1827 (2008).
    [Crossref] [PubMed]
  18. W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64(6), 063,815 (2001).
    [Crossref]
  19. Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002).
    [Crossref]
  20. A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).
  21. A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
    [Crossref]
  22. S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
    [Crossref]
  23. L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
    [Crossref]
  24. T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006).
    [Crossref]
  25. A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007).
    [Crossref] [PubMed]
  26. K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
    [Crossref]
  27. M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. Wadsworth, and J. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).
    [Crossref] [PubMed]
  28. W. P. Grice and I. A. Walmsley, “Spectral information and distinguishability in type-II down-conversion with a broadband pump,” Phys. Rev. A 56(2), 1627–1634 (1997).
    [Crossref]
  29. Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
    [Crossref]
  30. 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(22), 223,602 (2006).
    [Crossref]
  31. M. Corona and A. B. U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (pages 10) (2007).
    [Crossref]
  32. A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (pages 9) (2007).
    [Crossref]
  33. O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008).
    [Crossref] [PubMed]
  34. P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
    [Crossref] [PubMed]
  35. K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
    [Crossref]
  36. A. Christ, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Pure single photon generation by type-IPDC with backward-wave amplification,” Opt. Express 17(5), 3441–3446 (2009).
    [Crossref] [PubMed]
  37. M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
    [Crossref]

2010 (3)

G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photonics 4(4), 227–230 (2010).
[Crossref]

A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
[Crossref]

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
[Crossref]

2009 (5)

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. Wadsworth, and J. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).
[Crossref] [PubMed]

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

A. Christ, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Pure single photon generation by type-IPDC with backward-wave amplification,” Opt. Express 17(5), 3441–3446 (2009).
[Crossref] [PubMed]

2008 (4)

A. Eckstein and C. Silberhorn, “Broadband frequency mode entanglement in waveguided parametric downconversion,” Opt. Lett. 33(16), 1825–1827 (2008).
[Crossref] [PubMed]

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008).
[Crossref] [PubMed]

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

2007 (9)

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

M. Corona and A. B. U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (pages 10) (2007).
[Crossref]

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (pages 9) (2007).
[Crossref]

A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007).
[Crossref] [PubMed]

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(1), 135 (pages 40) (2007).
[Crossref]

N. Gisin and R. Thew, “Quantum communication,” Nature Photonics 1(3), 165–171 (2007).
[Crossref]

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
[Crossref] [PubMed]

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

2006 (3)

K. Wang, “Quantum theory of two-photon wavepacket interference in a beamsplitter,” J. Phys. B 39(18), R293–R324 (2006).
[Crossref]

T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006).
[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(22), 223,602 (2006).
[Crossref]

2005 (3)

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
[Crossref]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
[Crossref]

2004 (1)

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

2002 (1)

Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002).
[Crossref]

2001 (2)

G. Imeshev, M. Fejer, A. Galvanauskas, and D. Harter, “Pulse shaping by difference-frequency mixing with quasi-phase-matching gratings,” J. Opt. Soc. Am. B 18(4), 534–539 (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(6), 063,815 (2001).
[Crossref]

2000 (1)

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

1997 (1)

W. P. Grice and I. A. Walmsley, “Spectral information and distinguishability in type-II down-conversion with a broadband pump,” Phys. Rev. A 56(2), 1627–1634 (1997).
[Crossref]

1994 (1)

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
[Crossref] [PubMed]

1992 (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
[Crossref]

1987 (1)

C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref] [PubMed]

Abrams, D. S.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

Alibart, O.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

Aspelmeyer, M.

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

Banaszek, K.

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
[Crossref]

Barbieri, M.

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

Bartlett, S. D.

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

Berry, D. W.

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

Boto, A. N.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

Branczyk, A. M.

A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
[Crossref]

Braunstein, S. L.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

Brida, G.

G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photonics 4(4), 227–230 (2010).
[Crossref]

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
[Crossref]

Carrasco, S.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Ceceña-Álvarez, H.

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
[Crossref]

Cemlyn, B.

Ceré, A.

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

Christ, A.

Clark, A.

Cohen, O.

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

Corona, M.

M. Corona and A. B. U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (pages 10) (2007).
[Crossref]

Cussey, J.

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (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(22), 223,602 (2006).
[Crossref]

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(1), 135 (pages 40) (2007).
[Crossref]

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

Eckstein, A.

Emplit, P.

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
[Crossref]

Erdmann, R.

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

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(22), 223,602 (2006).
[Crossref]

Fedrizzi, A.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007).
[Crossref] [PubMed]

Fejer, M.

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C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
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M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

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L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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Jennewein, T.

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A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007).
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A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (pages 9) (2007).
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M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
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T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006).
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Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002).
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M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
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Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
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Mandel, L.

C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
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Martin, A.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
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L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
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K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
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L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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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(1), 135 (pages 40) (2007).
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A. Christ, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Pure single photon generation by type-IPDC with backward-wave amplification,” Opt. Express 17(5), 3441–3446 (2009).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
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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(1), 135 (pages 40) (2007).
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T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
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M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

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(1), 135 (pages 40) (2007).
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L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
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Noh, J.

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
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O’Brien, J. L.

T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
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T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
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L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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Ostrowsky, D. B

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

Ou, Z.

C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref] [PubMed]

Peimbert-Torres, A.

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
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Poppe, A.

Pryde, G. J.

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

Radic, S.

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

Ralph, T. C.

A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
[Crossref]

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(1), 135 (pages 40) (2007).
[Crossref]

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
[Crossref]

Ramelow, S.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

Rangel-Rojo, R.

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

Rarity, J.

Ratschbacher, L.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

Raymer, M. G.

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
[Crossref]

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

Rohde, P. P.

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
[Crossref]

Rubin, M. H.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
[Crossref] [PubMed]

Ruo Berchera, I.

G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photonics 4(4), 227–230 (2010).
[Crossref]

Saleh, B.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Saleh, B. E. A.

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

Sasaki, K.

T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
[Crossref] [PubMed]

Sergienko, A.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Sergienko, A. V.

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
[Crossref] [PubMed]

Shi, X.

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

Shih, Y. H.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
[Crossref] [PubMed]

Silberhorn, C.

A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
[Crossref]

A. Christ, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Pure single photon generation by type-IPDC with backward-wave amplification,” Opt. Express 17(5), 3441–3446 (2009).
[Crossref] [PubMed]

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

A. Eckstein and C. Silberhorn, “Broadband frequency mode entanglement in waveguided parametric downconversion,” Opt. Lett. 33(16), 1825–1827 (2008).
[Crossref] [PubMed]

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

Sinha, K.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

Smith, B. J.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

Takeuchi, S.

T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
[Crossref] [PubMed]

Tanzilli, S.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

Teich, M.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Teich, M. C.

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

Thew, R.

N. Gisin and R. Thew, “Quantum communication,” Nature Photonics 1(3), 165–171 (2007).
[Crossref]

Thyagarajan, K.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

Torner, L.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Torres, J.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

Torres, J. P.

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

Tovstonog, S.

O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008).
[Crossref] [PubMed]

U’Ren, A. B.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007).
[Crossref]

M. Corona and A. B. U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (pages 10) (2007).
[Crossref]

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (pages 9) (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(22), 223,602 (2006).
[Crossref]

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64(6), 063,815 (2001).
[Crossref]

Valencia, A.

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

Wadsworth, W.

Walmsley, I. A.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (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(22), 223,602 (2006).
[Crossref]

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
[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(6), 063,815 (2001).
[Crossref]

W. P. Grice and I. A. Walmsley, “Spectral information and distinguishability in type-II down-conversion with a broadband pump,” Phys. Rev. A 56(2), 1627–1634 (1997).
[Crossref]

Walton, Z. D.

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

Wang, K.

K. Wang, “Quantum theory of two-photon wavepacket interference in a beamsplitter,” J. Phys. B 39(18), R293–R324 (2006).
[Crossref]

Wasylczyk, P.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

Williams, C. P.

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

Wiseman, H. M.

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

Wong, F. N. C.

O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008).
[Crossref] [PubMed]

T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006).
[Crossref]

Xiong, C.

Zeilinger, A.

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007).
[Crossref] [PubMed]

IEEE J. Quantum Electron. (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992).
[Crossref]

J. Mod. Opt. (1)

Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

K. Wang, “Quantum theory of two-photon wavepacket interference in a beamsplitter,” J. Phys. B 39(18), R293–R324 (2006).
[Crossref]

Laser Physics (1)

A. B. U’Ren, C. Silberhorn, K. Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Physics 15, 146–161 (2005).

Nature (London) (1)

B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450(7168), 393–396 (2007).
[Crossref]

Nature Photonics (2)

N. Gisin and R. Thew, “Quantum communication,” Nature Photonics 1(3), 165–171 (2007).
[Crossref]

G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photonics 4(4), 227–230 (2010).
[Crossref]

New Journal of Physics (2)

A. M. Brańczyk, T. C. Ralph, W. Helwig, and C. Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New Journal of Physics 12, 063,001 (2010).
[Crossref]

A. Fedrizzi, T. Herbst, M. Aspelmeyer, M. Barbieri, T. Jennewein, and A. Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New Journal of Physics 11, 103,052 (2009).
[Crossref]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rev. A (11)

W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A 64(6), 063,815 (2001).
[Crossref]

L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H. Ceceña-Álvarez, A. Peimbert-Torres, R. Gómez-González, and et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010).
[Crossref]

T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006).
[Crossref]

W. P. Grice and I. A. Walmsley, “Spectral information and distinguishability in type-II down-conversion with a broadband pump,” Phys. Rev. A 56(2), 1627–1634 (1997).
[Crossref]

Z. D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Generation of polarization-entangled photon pairs with arbitrary joint spectrum,” Phys. Rev. A 70(5), 052,317 (2004).
[Crossref]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005).
[Crossref]

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009).
[Crossref]

M. Corona and A. B. U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (pages 10) (2007).
[Crossref]

A. B. U’Ren, Y. Jeronimo-Moreno, and H. Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (pages 9) (2007).
[Crossref]

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, “Optimal photons for quantum-information processing,” Phys. Rev. A 72(5), 052,332 (2005).
[Crossref]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994).
[Crossref] [PubMed]

Phys. Rev. Lett. (8)

S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009).
[Crossref]

A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000).
[Crossref] [PubMed]

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroad-band biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).

A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the Waveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007).
[Crossref]

C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987).
[Crossref] [PubMed]

O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008).
[Crossref] [PubMed]

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008).
[Crossref] [PubMed]

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(22), 223,602 (2006).
[Crossref]

Rev. Mod. Phys. (1)

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(1), 135 (pages 40) (2007).
[Crossref]

Science (1)

T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, “Beating the Standard Quantum Limit with Four-Entangled Photons,” Science 316(5825), 726 (2007).
[Crossref] [PubMed]

Other (1)

The crystal was custom-made by Raicol Crystals Ltd., www.raicol.com .

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Figures (5)

Fig. 1
Fig. 1

a) Nonlinearity profile for the cpKTP crystal χT(z) (orange line) and target Gaussian profile χG(z) = exp(−(z/Leff)2/γ) (black dashed line) with effective length Leff = 5.67mm (green dot-dashed line) and γ ≈ 0.193 (see Appendix C). b) Phase-matching function amplitudes and intensities (inset) for the cpKTP (orange line) compared to a pp-KTP of the same effective length Leff (green dot-dashed line) and target Gaussian profile ΦG(ωi, ωs) = exp(−γkL/2)2) (black dashed line). c) Magnified image of part of the custom-poled KTP crystal. Vertical lines separate sections with constant effective nonlinearity, with their poling order m, length L and poling duty cycle D. d) Magnified view of the transition from poling order m=1 to m=2 [12]. Due to a slight mismatch between design and actual domain lengths, the crystal was shortened by a few tens of μm on one side.

Fig. 2
Fig. 2

a) Experimental scheme. The crystals (cpKTP, ppKTP) were temperature-stabilised (TEC) and pumped by a 410 nm, grating-stabilised diode laser. The emitted orthogonally polarised photon pairs were split at a polarising beamsplitter (PBS) and coupled into single-mode fibres equipped with polarisation-controllers (POL). They were then superposed at a 50/50 fiber beamsplitter (BS) and detected in coincidence. We obtained two-photon interference patterns by changing the delay Δt with a motorised translation stage. The only filters in use were two RG715 long-pass filters (LP). b) Two-photon interference patterns for the cpKTP (red circles) compared to a standard ppKTP (green diamonds). The solid lines show the theoretical values, calculated from the respective PMF for each crystal. The reduced chi-square values of these fits are 3.07 and 5.51, respectively. The dashed lines show least-square fits of a triangular pattern to the tailored crystal data and a Gaussian fitted to the normal crystal, with reduced chi-square values of 50.59 and 23.10, underlining the strong divergence from these shapes. c) Spatial quantum beating for various center-frequency detunings Δω = ωiωs. The lines show the ideal values, calculated from the respective PMF. All probabilities pc for b) and c) were obtained by normalising detected pairs to twice the averaged counts outside the coherence length. The only free parameter for theory values was the interference visibility of ∼ 95%. All error bars are smaller than symbol size.

Fig. 3
Fig. 3

Phase matching functions generated from the basic model (black solid line) and the detailed model (light red line). The inset shows a magnified portion of the PMFs, detailing the deviation between the models.

Fig. 4
Fig. 4

a) Nonlinearity profiles and b) corresponding PMFs for: m = 1 tailored crystal (solid black line); m = 2 tailored crystal (dot-dashed black line); and an ideal crystal with a Gaussian profile (dashed red line). The corresponding sinc PMF (thin dotted line) has been included for comparison.

Fig. 5
Fig. 5

a) Examples of tailored nonlinearity profiles, and corresponding phasematching functions, for a) a triangular phase-matching function and b) a top-hat function. The dashed red line shows the target functions and the black line the results of the discrete approximation.

Tables (1)

Tables Icon

Table 1 Numerical comparison of the purity P of heralded single-photons of a standard crystal and two cpKTP crystals of length L, in a group-velocity-matched scenario. The effective length of both cpKTP crystals is Leff=24.2mm.

Equations (9)

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| ψ = d ω i d ω s f ( ω i , ω s ) a ^ i ( ω i ) a ^ s ( ω s ) | 0 ,
Φ ( ω i , ω s ) = 2 π χ ( z ) e i Δ k ( ω i , ω s ) z d z ,
H ( t ) = A d ω i d ω s d ω p α ( ω p ) e i Δ ω t a ^ i ( ω i ) a ^ s ( ω s ) × L / 2 L / 2 d z χ ( 2 ) e i Δ k ( ω i , ω s , ω p ) z + H . c . ,
H ( t ) = A L d ω i d ω s d ω p α ( ω p ) Φ ( Δ k ( ω i , ω s , ω s ) ) × e i Δ ω t a ^ i ( ω i ) a ^ s ( ω s ) + H . c . ,
Φ ( Δ k ( ω i , ω s , ω p ) ) = sinc ( 1 2 Δ k ( ω i , ω s , ω p ) L )
| ψ = d ω i d ω s f ( ω i , ω s ) a ^ i ( ω i ) a ^ s ( ω s ) | 0 ,
χ T ( z ) = s = 1 21 1 m s u ( 1 2 r = 1 s m r n r Λ z ) × u ( z 1 2 r = 1 s 1 m r n r Λ ) ,
Φ D ( Δ k p ) = χ ( 2 ) j s j ( e i Δ k p z j e i Δ k p z j 1 ) ,
f ( ω i , ω s ) exp ( ( ω i + ω s 2 μ ) 2 2 σ p 2 ) × exp ( γ Δ k 2 L 2 4 ) ,

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