Abstract

We study theoretically the generation of photon pairs by spontaneous four-wave mixing (SFWM) in photonic crystal optical fiber. We show that it is possible to engineer two-photon states with specific spectral correlation (“entanglement”) properties suitable for quantum information processing applications. We focus on the case exhibiting no spectral correlations in the two-photon component of the state, which we call factorability, and which allows heralding of single-photon pure-state wave packets without the need for spectral post filtering. We show that spontaneous four wave mixing exhibits a remarkable flexibility, permitting a wider class of two-photon states, including ultra-broadband, highly-anticorrelated states.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. See, for example, the review by 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]
  2. S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
    [CrossRef]
  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 Phys. 15, 146–161 (2005).
  4. M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (2005).
    [CrossRef]
  5. 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]
  6. K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
    [CrossRef]
  7. J. Fan and A. Migdall, “A broadband high spectral brightness fiber-based two-photon source,” Opt. Express 15, 2915–2920 (2007).
    [CrossRef] [PubMed]
  8. J. Rarity, J. Fulconis, J. Duligall, W. Wadsworth, and P. St. J. Russell, “Photonic crystal fiber source of correlated photon pairs,” Opt. Express 13, 534–544 (2005).
    [CrossRef] [PubMed]
  9. J. Fan and A. Migdall, “Generation of cross-polarized photon pairs in a microstructure fiber with frequency-conjugate laser pump pulses,” Opt. Express 13, 5777–5782 (2005).
    [CrossRef] [PubMed]
  10. X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications: Improved generation of correlated photons,” Opt. Express 12, 3737–3744 (2004).
    [CrossRef] [PubMed]
  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, 063815 (2001).
    [CrossRef]
  12. P. Russell, “Photonic Crystal Fiber,” Science 299, 358–362 (2003).
    [CrossRef] [PubMed]
  13. M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
    [CrossRef]
  14. R. H. Stolen, “Fundamentals of Raman amplification in fibers,” in Raman Amplifiers for Telecommunications 1, edited by M. N. Islam (Springer, 2003), pp. 35–59.
  15. R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
    [CrossRef]
  16. J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
    [CrossRef] [PubMed]
  17. M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
    [CrossRef]
  18. Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).
  19. Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
    [CrossRef]
  20. J. P. Torres, F. Macia, S. Carrasco, and L. Torner, “Engineering the frequency correlations of entangled two-photon states by achromatic phase matching” Opt. Lett. 30, 314 (2005)
    [CrossRef] [PubMed]
  21. O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
    [CrossRef] [PubMed]
  22. A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)
  23. A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [PubMed]
  24. V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
    [CrossRef]
  25. M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
    [CrossRef] [PubMed]
  26. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).
  27. J. Chen, X. Li, and P. Kumar, “Two-photon-state generation via four-wave mixing in optical fibers,” Phys. Rev. A 72, 033801 (2005).
    [CrossRef]
  28. J. Chen, K. F. Lee, and P. Kumar R, “Quantum theory of degenerate χ(3) two-photon state,” e-print arXiv:quant-ph/0702176v1.
  29. G. P. Agrawal, Nonlinear Fiber Optics, 4th Ed. (Elsevier, 2007).
  30. C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
    [CrossRef]
  31. K. P. Hansen, “Dispersion flattened hybrid-core nonlinear photonic crystal fiber,” Opt. Express 11, 1503–1509 (2003).
    [CrossRef] [PubMed]
  32. T. A. Birks, J. C. Knight, and P. St. J. Russell. “Endlessly single-mode photonic crystal fiber,” Opt. Lett. 22, 961–963 (1997).
    [CrossRef] [PubMed]
  33. G. K. L. Wong, A. Y. H. Chen, S. W. Ha, R. J. Kruhlak, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and N. Y. Joly, “Characterization of chromatic dispersion in photonic crystal fibers using scalar modulation instability,” Opt. Express 13, 8662–8670 (2005).
    [CrossRef] [PubMed]
  34. A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
    [CrossRef]
  35. A. L. Berkhoer and V. E. Zakharov, “Self-excitation of waves with different polarizations in nonlinear media,” Sov. Phys. JETP 31, 486–493 (1970).
  36. C. J. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
    [CrossRef] [PubMed]
  37. R. H. Stolen, M. A. Bosch, and C. Lin, “Phase matching in birefringent fibers,” Opt. Lett. 6, 213–215 (1981).
    [CrossRef] [PubMed]
  38. R. J. Kruhlak, G. K. L. Wong, J. S. Y. Chen, S. G. Murdoch, R. Leonhardt, J. D. Harvey, N. Y. Joly, and J. C. Knight, “Polarization modulation instability in photonic crystal fibers,” Opt. Lett. 31, 1379–1381 (2006).
    [CrossRef] [PubMed]
  39. S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Polarization modulation instability in weakly birefringent fibers,” Opt. Lett. 20, 866–868 (1995).
    [CrossRef] [PubMed]
  40. Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
    [CrossRef] [PubMed]
  41. Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
    [CrossRef]
  42. Such a state is typically referred to as highly entangled, but one should keep in mind that the large vacuum component of the state renders this “entanglement” useful only in a post-selection experiment.
  43. K. A. O’Donnell and A. B. U’Ren, “Observation of ultrabroadband, beamlike parametric downconversion,” Opt. Lett. 32, 817–819 (2007).
    [CrossRef] [PubMed]
  44. L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
    [CrossRef]
  45. R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.
  46. J. M. Chavez Boggio, J. D. Marconi, S. R. Bickham, and H. L. Fragnito, “Spectrally flat and broadband double-pumped fiber optical parametric amplifiers,” Opt. Express 15, 5288–5309 (2007).
    [CrossRef]
  47. S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
    [CrossRef]
  48. H. Takesue and K. Inoue, “1.5-μm band quantum-correlated photon pair generation in dispersion-shifted fiber: suppression of noise photons by cooling fiber,” Opt. Express 13, 7832–7839 (2005).
    [CrossRef] [PubMed]

2007 (6)

See, for example, the review by 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]

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
[CrossRef]

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

K. A. O’Donnell and A. B. U’Ren, “Observation of ultrabroadband, beamlike parametric downconversion,” Opt. Lett. 32, 817–819 (2007).
[CrossRef] [PubMed]

J. Fan and A. Migdall, “A broadband high spectral brightness fiber-based two-photon source,” Opt. Express 15, 2915–2920 (2007).
[CrossRef] [PubMed]

J. M. Chavez Boggio, J. D. Marconi, S. R. Bickham, and H. L. Fragnito, “Spectrally flat and broadband double-pumped fiber optical parametric amplifiers,” Opt. Express 15, 5288–5309 (2007).
[CrossRef]

2006 (5)

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
[CrossRef] [PubMed]

R. J. Kruhlak, G. K. L. Wong, J. S. Y. Chen, S. G. Murdoch, R. Leonhardt, J. D. Harvey, N. Y. Joly, and J. C. Knight, “Polarization modulation instability in photonic crystal fibers,” Opt. Lett. 31, 1379–1381 (2006).
[CrossRef] [PubMed]

C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
[CrossRef]

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [PubMed]

2005 (8)

J. Chen, X. Li, and P. Kumar, “Two-photon-state generation via four-wave mixing in optical fibers,” Phys. Rev. A 72, 033801 (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 Phys. 15, 146–161 (2005).

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (2005).
[CrossRef]

J. Rarity, J. Fulconis, J. Duligall, W. Wadsworth, and P. St. J. Russell, “Photonic crystal fiber source of correlated photon pairs,” Opt. Express 13, 534–544 (2005).
[CrossRef] [PubMed]

J. P. Torres, F. Macia, S. Carrasco, and L. Torner, “Engineering the frequency correlations of entangled two-photon states by achromatic phase matching” Opt. Lett. 30, 314 (2005)
[CrossRef] [PubMed]

J. Fan and A. Migdall, “Generation of cross-polarized photon pairs in a microstructure fiber with frequency-conjugate laser pump pulses,” Opt. Express 13, 5777–5782 (2005).
[CrossRef] [PubMed]

H. Takesue and K. Inoue, “1.5-μm band quantum-correlated photon pair generation in dispersion-shifted fiber: suppression of noise photons by cooling fiber,” Opt. Express 13, 7832–7839 (2005).
[CrossRef] [PubMed]

G. K. L. Wong, A. Y. H. Chen, S. W. Ha, R. J. Kruhlak, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and N. Y. Joly, “Characterization of chromatic dispersion in photonic crystal fibers using scalar modulation instability,” Opt. Express 13, 8662–8670 (2005).
[CrossRef] [PubMed]

2004 (5)

X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications: Improved generation of correlated photons,” Opt. Express 12, 3737–3744 (2004).
[CrossRef] [PubMed]

C. J. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
[CrossRef] [PubMed]

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[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]

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

2003 (6)

A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

P. Russell, “Photonic Crystal Fiber,” Science 299, 358–362 (2003).
[CrossRef] [PubMed]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

K. P. Hansen, “Dispersion flattened hybrid-core nonlinear photonic crystal fiber,” Opt. Express 11, 1503–1509 (2003).
[CrossRef] [PubMed]

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

2002 (1)

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

2001 (3)

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]

V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
[CrossRef]

K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
[CrossRef]

1997 (1)

1995 (2)

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Polarization modulation instability in weakly birefringent fibers,” Opt. Lett. 20, 866–868 (1995).
[CrossRef] [PubMed]

M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
[CrossRef]

1981 (1)

1970 (1)

A. L. Berkhoer and V. E. Zakharov, “Self-excitation of waves with different polarizations in nonlinear media,” Sov. Phys. JETP 31, 486–493 (1970).

1967 (1)

S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
[CrossRef]

Agrawal, G. P.

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
[CrossRef]

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
[CrossRef] [PubMed]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics, 4th Ed. (Elsevier, 2007).

Albota, M. A.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

Alic, N.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.

Andres, Miguel V.

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

Banaszek, K.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[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 Phys. 15, 146–161 (2005).

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (2005).
[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]

A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)

K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
[CrossRef]

Berkhoer, A. L.

A. L. Berkhoer and V. E. Zakharov, “Self-excitation of waves with different polarizations in nonlinear media,” Sov. Phys. JETP 31, 486–493 (1970).

Bickham, S. R.

Birks, T. A.

Boggio, J. M. Chavez

Bosch, M. A.

Byer, R. L.

S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
[CrossRef]

Carrasco, S.

Centanni, J. C.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

Chen, A. Y. H.

Chen, J.

J. Chen, X. Li, and P. Kumar, “Two-photon-state generation via four-wave mixing in optical fibers,” Phys. Rev. A 72, 033801 (2005).
[CrossRef]

X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications: Improved generation of correlated photons,” Opt. Express 12, 3737–3744 (2004).
[CrossRef] [PubMed]

J. Chen, K. F. Lee, and P. Kumar R, “Quantum theory of degenerate χ(3) two-photon state,” e-print arXiv:quant-ph/0702176v1.

Chen, J. S. Y.

Coen, S.

Cruz, J. L.

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

Cruz, M. De la

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [PubMed]

Delgado-Pinar, M.

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

Diez, A.

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

Dowling, J. P.

See, for example, the review by 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]

Duligall, J.

Erdmann, R.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [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 Phys. 15, 146–161 (2005).

Fainman, S.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

Fan, J.

Fiorentino, M.

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

Ford, J.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

Fragnito, H. L.

Fulconis, J.

Giovanetti, V.

V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
[CrossRef]

Grice, W. P.

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 Phys. 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, 063815 (2001).
[CrossRef]

Ha, S. W.

Hansen, K. P.

Harris, S. E.

S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
[CrossRef]

Harvey, J. D.

Inoue, K.

Jiang, R.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.

Joly, N. Y.

Jopson, R. M.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

Kärtner, F. X.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

Knight, J. C.

Kogelnik, H.

C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
[CrossRef]

Kok, P.

See, for example, the review by 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]

Kruhlak, R. J.

Kumar, P.

J. Chen, X. Li, and P. Kumar, “Two-photon-state generation via four-wave mixing in optical fibers,” Phys. Rev. A 72, 033801 (2005).
[CrossRef]

X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications: Improved generation of correlated photons,” Opt. Express 12, 3737–3744 (2004).
[CrossRef] [PubMed]

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

Kumar R, P.

J. Chen, K. F. Lee, and P. Kumar R, “Quantum theory of degenerate χ(3) two-photon state,” e-print arXiv:quant-ph/0702176v1.

Kuzucu, O.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

Lee, K. F.

J. Chen, K. F. Lee, and P. Kumar R, “Quantum theory of degenerate χ(3) two-photon state,” e-print arXiv:quant-ph/0702176v1.

Leonhardt, R.

Li, X.

Lin, C.

Lin, Q.

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
[CrossRef]

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
[CrossRef] [PubMed]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

Lloyd, S.

V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
[CrossRef]

Lundeen, Jeff S.

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Maccone, L.

V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
[CrossRef]

Macia, F.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

Marconi, J. D.

McKinstrie, C. J.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
[CrossRef]

C. J. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
[CrossRef] [PubMed]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
[CrossRef]

R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.

Migdall, A.

Milburn, G. J.

See, for example, the review by 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]

Mosley, Peter J.

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Munro, W. J.

See, for example, the review by 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]

Murdoch, S. G.

Nasr, M. B.

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

Nemoto, K.

See, for example, the review by 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]

Nezhad, M.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

Noh, J.

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (2005).
[CrossRef]

O’Donnell, K. A.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

K. A. O’Donnell and A. B. U’Ren, “Observation of ultrabroadband, beamlike parametric downconversion,” Opt. Lett. 32, 817–819 (2007).
[CrossRef] [PubMed]

Ortigosa-Blanch, A.

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

Oshman, M. K.

S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
[CrossRef]

Radic, S.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

C. J. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
[CrossRef] [PubMed]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.

Ralph, T. C.

See, for example, the review by 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]

Rarity, J.

Raymer, M. G.

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 Phys. 15, 146–161 (2005).

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (2005).
[CrossRef]

Russell, P.

P. Russell, “Photonic Crystal Fiber,” Science 299, 358–362 (2003).
[CrossRef] [PubMed]

Russell, P. St. J.

Saleh, B. E. A.

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

Saperstein, R.

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

Schenato, L.

C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
[CrossRef]

Sergienko, A. V.

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

Sharping, J.

Sharping, J. E.

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

Silberhorn, C.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[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 Phys. 15, 146–161 (2005).

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]

Silberhorn, Christine

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Smith, Brian J.

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Stolen, R. H.

R. H. Stolen, M. A. Bosch, and C. Lin, “Phase matching in birefringent fibers,” Opt. Lett. 6, 213–215 (1981).
[CrossRef] [PubMed]

R. H. Stolen, “Fundamentals of Raman amplification in fibers,” in Raman Amplifiers for Telecommunications 1, edited by M. N. Islam (Springer, 2003), pp. 35–59.

Takesue, H.

Teich, M. C.

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

Torner, L.

Torres, J. P.

U’Ren, A. B.

K. A. O’Donnell and A. B. U’Ren, “Observation of ultrabroadband, beamlike parametric downconversion,” Opt. Lett. 32, 817–819 (2007).
[CrossRef] [PubMed]

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [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 Phys. 15, 146–161 (2005).

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]

K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
[CrossRef]

U’Ren, A.B.

A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)

U’Ren, Alfred B.

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Voss, P.

Voss, P. L.

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

Wadsworth, W.

Wadsworth, W. J.

Walmsley, I. A.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [PubMed]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (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 Phys. 15, 146–161 (2005).

A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)

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]

K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
[CrossRef]

Walmsley, I.A.

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]

Walmsley, Ian A.

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Walton, Z.D.

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

Wasylczyk, Piotr

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

Wong, F. N. C.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

Wong, G. K. L.

Yaman, F.

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
[CrossRef]

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
[CrossRef] [PubMed]

Yu, M.

M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
[CrossRef]

Zakharov, V. E.

A. L. Berkhoer and V. E. Zakharov, “Self-excitation of waves with different polarizations in nonlinear media,” Sov. Phys. JETP 31, 486–493 (1970).

Zhang, L.

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

Electron. Lett. (1)

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G. P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fibre,” Electron. Lett. 39, 838–839 (2003).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

A. Ortigosa-Blanch, A. Diez, M. Delgado-Pinar, J. L. Cruz, and Miguel V. Andres, “Ultrahigh birefringent nonlinear microstructured fiber,” IEEE Photon. Technol. Lett. 16, 1667–1669 (2004).
[CrossRef]

M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications,” IEEE Photon. Technol. Lett. 14, 983–985 (2002).
[CrossRef]

R. Jiang, R. Saperstein, N. Alic, M. Nezhad, C. J. McKinstrie, J. Ford, S. Fainman, and S. Radic, “Parametric wavelength conversion from conventional near-infrared to visible band,” IEEE Photon. Technol. Lett. 18, 2445–2447 (2006).
[CrossRef]

J. Mod. Opt. (1)

L. Zhang, A. B. U’Ren, R. Erdmann, K. A. O’Donnell, C. Silberhorn, K. Banaszek, and I. A. Walmsley, “Generation of highly entangled photon pairs for continuous variable Bell inequality violation,” J. Mod. Opt. 54, 707–719 (2007).
[CrossRef]

Laser Phys. (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 Phys. 15, 146–161 (2005).

Nature (1)

V. Giovanetti, S. Lloyd, and L. Maccone, “Quantum-enhanced positioning and clock synchronization,” Nature 412, 417–419 (2001).
[CrossRef]

Opt. Express (10)

C. J. McKinstrie, H. Kogelnik, and L. Schenato, “Four-wave mixing in a rapidly-spun fiber,” Opt. Express 15, 8516–8534 (2006). This paper also reviews scalar and vector FWM in strongly-birefringent and randomly-birefringent fibers.
[CrossRef]

X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, “All-fiber photon-pair source for quantum communications: Improved generation of correlated photons,” Opt. Express 12, 3737–3744 (2004).
[CrossRef] [PubMed]

C. J. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
[CrossRef] [PubMed]

J. Rarity, J. Fulconis, J. Duligall, W. Wadsworth, and P. St. J. Russell, “Photonic crystal fiber source of correlated photon pairs,” Opt. Express 13, 534–544 (2005).
[CrossRef] [PubMed]

J. Fan and A. Migdall, “Generation of cross-polarized photon pairs in a microstructure fiber with frequency-conjugate laser pump pulses,” Opt. Express 13, 5777–5782 (2005).
[CrossRef] [PubMed]

H. Takesue and K. Inoue, “1.5-μm band quantum-correlated photon pair generation in dispersion-shifted fiber: suppression of noise photons by cooling fiber,” Opt. Express 13, 7832–7839 (2005).
[CrossRef] [PubMed]

G. K. L. Wong, A. Y. H. Chen, S. W. Ha, R. J. Kruhlak, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and N. Y. Joly, “Characterization of chromatic dispersion in photonic crystal fibers using scalar modulation instability,” Opt. Express 13, 8662–8670 (2005).
[CrossRef] [PubMed]

K. P. Hansen, “Dispersion flattened hybrid-core nonlinear photonic crystal fiber,” Opt. Express 11, 1503–1509 (2003).
[CrossRef] [PubMed]

J. Fan and A. Migdall, “A broadband high spectral brightness fiber-based two-photon source,” Opt. Express 15, 2915–2920 (2007).
[CrossRef] [PubMed]

J. M. Chavez Boggio, J. D. Marconi, S. R. Bickham, and H. L. Fragnito, “Spectrally flat and broadband double-pumped fiber optical parametric amplifiers,” Opt. Express 15, 5288–5309 (2007).
[CrossRef]

Opt. Lett. (9)

J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,” Opt. Lett. 28, 2225–2227 (2003).
[CrossRef] [PubMed]

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation by four-wave mixing in optical fibers,” Opt. Lett. 31, 1286–1288 (2006).
[CrossRef] [PubMed]

R. J. Kruhlak, G. K. L. Wong, J. S. Y. Chen, S. G. Murdoch, R. Leonhardt, J. D. Harvey, N. Y. Joly, and J. C. Knight, “Polarization modulation instability in photonic crystal fibers,” Opt. Lett. 31, 1379–1381 (2006).
[CrossRef] [PubMed]

K. A. O’Donnell and A. B. U’Ren, “Observation of ultrabroadband, beamlike parametric downconversion,” Opt. Lett. 32, 817–819 (2007).
[CrossRef] [PubMed]

J. P. Torres, F. Macia, S. Carrasco, and L. Torner, “Engineering the frequency correlations of entangled two-photon states by achromatic phase matching” Opt. Lett. 30, 314 (2005)
[CrossRef] [PubMed]

R. H. Stolen, M. A. Bosch, and C. Lin, “Phase matching in birefringent fibers,” Opt. Lett. 6, 213–215 (1981).
[CrossRef] [PubMed]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Polarization modulation instability in weakly birefringent fibers,” Opt. Lett. 20, 866–868 (1995).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. St. J. Russell. “Endlessly single-mode photonic crystal fiber,” Opt. Lett. 22, 961–963 (1997).
[CrossRef] [PubMed]

K. Banaszek, A. B. U’Ren, and I. A. Walmsley, “Generation of correlated photons in controlled spatial modes by downconversion in nonlinear waveguides,” Opt. Lett. 26, 1367–1369 (2001).
[CrossRef]

Phys. Rev. A (5)

Q. Lin, F. Yaman, and G. P. Agrawal, “Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization,” Phys. Rev. A 75, 023803 (2007).
[CrossRef]

J. Chen, X. Li, and P. Kumar, “Two-photon-state generation via four-wave mixing in optical fibers,” Phys. Rev. A 72, 033801 (2005).
[CrossRef]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parmametric down-conversion in a distributed microcavity,” Phys. Rev. A 72, 023825 (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, 063815 (2001).
[CrossRef]

Z.D. Walton, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, “Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum” Phys. Rev. A 70, 052317 (2004)
[CrossRef]

Phys. Rev. E (1)

M. Yu, C. J. McKinstrie, and G. P. Agrawal, “Modulational instabilities in dispersion-flattened fibers,” Phys. Rev. E 52, 1072–1080 (1995).
[CrossRef]

Phys. Rev. Lett. (4)

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]

S. E. Harris, M. K. Oshman, and R. L. Byer, “Observation of Tunable Optical Parametric Fluorescence,” Phys. Rev. Lett. 18, 732–734 (1967).
[CrossRef]

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of dispersion-canceled quantum-optical coherence tomography,” Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

A. B. U’Ren, R. Erdmann, M. De la Cruz, 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] [PubMed]

Quantum Information and Computation (1)

A.B. U’Ren, K. Banaszek, and I. A. Walmsley, “Photon engineering for quantum information processing” Quantum Information and Computation 3, 480 (2003)

Rev. Mod. Phys. (1)

See, for example, the review by 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]

Science (1)

P. Russell, “Photonic Crystal Fiber,” Science 299, 358–362 (2003).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

A. L. Berkhoer and V. E. Zakharov, “Self-excitation of waves with different polarizations in nonlinear media,” Sov. Phys. JETP 31, 486–493 (1970).

Other (8)

Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Ian A. Walmsley, Piotr Wasylczyk, Alfred B. U’Ren, and Christine Silberhorn, in Coherence and Quantum Optics IX, (Kluwer Academic/Plenum, New York) (accepted).

Such a state is typically referred to as highly entangled, but one should keep in mind that the large vacuum component of the state renders this “entanglement” useful only in a post-selection experiment.

R. Jiang, N. Alic, C. J. McKinstrie, and S. Radic, “Two-pump parametric amplifier with 40 dB of equalized gain over a bandwidth of 50 nm,” Proc. OFC2007, paper OWB2.

R. H. Stolen, “Fundamentals of Raman amplification in fibers,” in Raman Amplifiers for Telecommunications 1, edited by M. N. Islam (Springer, 2003), pp. 35–59.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett.94, 083601 (2005)
[CrossRef] [PubMed]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).

J. Chen, K. F. Lee, and P. Kumar R, “Quantum theory of degenerate χ(3) two-photon state,” e-print arXiv:quant-ph/0702176v1.

G. P. Agrawal, Nonlinear Fiber Optics, 4th Ed. (Elsevier, 2007).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1.

(a) Pump envelope function α(ωs ,ωi ) for a fiber characterized by r = 0.67μm, f = 0.52 and L = 30cm. (b) Phasematching function ϕ (νs ,νi ); for a relatively small region of {ωs , ωi } space the phase-matching function contours are essentially straight lines, with slope θsi = - arctan(Ts /Ti }) (with Tμ given by Eq. (5)). (c) Resulting joint spectral intensity.

Fig. 2.
Fig. 2.

(a) Black, solid curve: phase-matching (Δk=0) contour for SFWM in the degenerate pump case. Colored background: phase-matching orientation angle. Black, dashed line: symmetric group velocity matching (GVM) contour. Along the phase-matching contour we have indicated particular orientation angles of interest. (b) Close up, near the lower zero group velocity dispersion frequency.

Fig. 3.
Fig. 3.

Joint spectral intensity (JSI) obtained for the fiber geometry assumed for Fig. 2 (r = 0.616μm and f = 0.6) where the pump central wavelength (λ p0 = 0.7147μm) is obtained by imposing simultaneous phase-matching and group-velocity matching. We consider a pump bandwidth of 0.1nm and a fiber length of 0.25m. The function values are normalized such that white = 1 and black = 0. (a) Pump envelope function α{ωs , ωi ). (b) Phase-matching function ϕ(νs , νi ). (c) Analytic JSI, obtained with approximation from Eq. (4). (d) JSI obtained by numerical integration of Eq. (2).

Fig. 4.
Fig. 4.

Black, solid curve: phase-matching (Δk = 0) contour for SFWM in the non-degenerate pump regime. Colored background: phase-matching orientation angle. Black, dotted line: frequencies that satisfy the group-velocity matching condition (see Eq. (12)). Along the phase-matching contour we have indicated particular angles of orientation of interest.

Fig. 5.
Fig. 5.

Joint spectral intensity (JSI) ∣F(ωs , ωi )∣2 obtained for the fiber geometry assumed for Fig. 4. (a) Pump envelope function α(ωs , ωi ). (b) Phase-matching function ϕ(ωs , ωi ). (c) Analytic JSI. (d) JSI obtained by numerical integration of Eq. (2).

Fig. 6.
Fig. 6.

a) Cross-polarization phase-matching Δk = 0 (thick) and group-velocity matching Ts,i = 0 (thin) curves (f = 0.43, d = 1.75μm, ZDWs = 790 nm, 1404 nm - similar to NL-1.7-790 from Crystal Fiber). With power P = 0, three pairs of curves are plotted with Δd = -0.001,0,0.001 μm, respectively resulting in a birefringence of Δn = -3 × 10-5,0,3 × 10-5 (red, green, blue). Points A through F bound regions in which factorability is possible. b) Full dispersion numerical JSIs for the asymmetric states corresponding to points D (θsi = 0°, λs = 746.4 nm and λi = 949.0 nm, Δλp = 0.30 nm, and L = 30 m) and F (θsi = 90°, λs = 677.1 nm, λi = 834.2 nm, Δλp = 0.30 nm, and L = 30 m).

Fig. 7.
Fig. 7.

Points C through F from Fig. 6 are plotted as a function of the birefringence Δn. Thus, the solid dark blue curves give the pump wavelength λp of asymmetric factorable solutions. The corresponding idler and signal wavelengths λi and λs are given by the magenta dashed curves (for points D and F) and light-blue dash-dotted curves (for points C and E). The shaded regions indicate the range in which factorable states can be generated provide the pump bandwidth is matched to the fiber length. The fiber parameters are the same as in Fig. 6.

Equations (16)

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

ψ = 0 s 0 i + κ d ω s d ω i F ω s ω i ω s s ω i i .
F ω s ω i = dω′ α 1 ( ω′ ) α 2 ( ω s + ω i ω′ )
× sin c [ L 2 Δk ω′ ω s ω i ] exp [ i L 2 Δk ω′ ω s ω i ] ,
Δ k ω 1 ω s ω i = k ( ω 1 ) + k ( ω s + ω i ω 1 ) k ( ω s ) k ( ω i ) ( γ 1 P 1 + γ 2 P 2 ) ,
L Δ k lin = L Δ k ( 0 ) + T s ν s + T i ν i ,
τ μ = L [ k 2 ( 1 ) ( ω 2 0 ) k μ ( 1 ) ( ω μ 0 ) ] ,
τ p = L [ k 1 ( 1 ) ( ω 1 0 ) k 2 ( 1 ) ( ω 2 0 ) ] ,
F lin ν s ν i = α ν s ν i ϕ ν s ν i ,
α ν s ν i = exp [ ( ν s + ν i ) 2 σ 1 2 + σ 2 2 ] ,
ϕ ν s ν i = sin c [ L Δ k lin 2 ] exp [ i L Δ k lin 2 ] ,
Φ B x = M π B exp ( B 2 x 2 ) [ erf ( 1 2 B iBx ) + erf ( iBx ) ] ,
T s T i 0 .
2 Γ σ 2 T s T i = 1 ,
2 k 2 ( 1 ) k s ( 1 ) k i ( 1 ) = 2 ( k 1 ( 1 ) k 2 ( 1 ) ) σ 1 2 ( σ 1 2 + σ 2 2 ) .
Δ k ω p Δ s = 2 k x ( ω p ) k y ( ω p + Δ s ) k y ( ω p Δ s ) 2 3 γP
2 k x ( ω p ) k x ( ω p + Δ s ) k x ( ω p Δ s ) + 2 Δ n ω p c 2 3 γP ,

Metrics