Abstract

Control of spatial quantum correlations in bi-photons is one of the fundamental principles of Quantum Imaging. Up to now, experiments have been restricted to controlling the state of a single bi-photon, by using linear optical elements. In this work we demonstrate experimental control of quantum correlations in a four-photon state comprised of two pairs of photons. Our scheme is based on a high-efficiency parametric downconversion source coupled to a double slit by a variable linear optical setup, in order to obtain spatially encoded qubits. Both entangled and separable pairs have been obtained, by altering experimental parameters. We show how the correlations influence both the interference and diffraction on the double slit.

© 2011 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
    [CrossRef]
  2. M. A. Horne, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).
    [CrossRef]
  3. P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
    [CrossRef]
  4. T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
    [CrossRef]
  5. A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).
  6. B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).
  7. I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).
  8. G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
  9. G. Brida, M. Genovese, and I. R. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nat. Photonics 4, 227–230 (2010).
    [CrossRef]
  10. S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).
  11. E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
    [CrossRef]
  12. E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).
  13. G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).
  14. L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).
  15. L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).
  16. L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).
  17. G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).
  18. W. Peeters, and J. Renema, “andM. V. Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009).
  19. J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. (1962).
  20. . F. Wong, M. A. Albota, F. Koenig, C. E. Kuklewicz, E. J. Mason, G. Messin, and J. H. Shapiro, “High-flux entanglement sources using periodically-poled nonlinear crystals,” Nonlinear Optics: Materials, Fundamentals and Applications (2002), paper FC8 (1).
  21. C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).
  22. Z.-Y. J. Ou, Multi-Photon Quantum Interference (Springer, 2007), 1st ed.
  23. W. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998).
    [CrossRef]
  24. C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
    [CrossRef]
  25. O. Cosme, A. Delgado, G. Lima, C. H. Monken, and S. Pádua, “Controlling the transverse correlation in QPM parametric down-conversion,” arXiv:0906.4734v1 [quant-ph].
  26. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), 3rd ed.
  27. L. Mandel, and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).
  28. A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).
  29. M. Ostermeyer, D. Puhlmann, and D. Korn, “Quantum diffraction of biphotons at a blazed grating,” J. Opt. Soc. Am. B 26, 2347–2356 (2009).
    [CrossRef]
  30. D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).
  31. R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).
  32. T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).
  33. A. Cabello, and M. Terra Cunha, “Proposal of a two-qutrit contextuality test free of the finite precision and compatibility loopholes,” arXiv:1009.2330v1 [quant-ph] (2010).

2010

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

T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).

2009

M. Ostermeyer, D. Puhlmann, and D. Korn, “Quantum diffraction of biphotons at a blazed grating,” J. Opt. Soc. Am. B 26, 2347–2356 (2009).
[CrossRef]

W. Peeters, and J. Renema, “andM. V. Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009).

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

2008

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

2007

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

2006

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

2005

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

2004

L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

2002

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

2001

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

2000

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

1999

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
[CrossRef]

1998

W. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998).
[CrossRef]

C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

1996

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

1994

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

1993

G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
[CrossRef]

1989

M. A. Horne, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).
[CrossRef]

Abouraddy, A.

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

Acín, A.

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

Barbosa, G. A.

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

Berchera, I. R.

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

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Brida, G.

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

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Brunner, N.

T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).

Caspani, L.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Collins, D.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

da Silva, J. C. M.

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

Davidovich, L.

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

Dougakiuchi, T.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Fiorentino, M.

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

Fonseca, E.

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

Fonseca, E. J. S.

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
[CrossRef]

Gatti, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Genovese, M.

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

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Gisin, N.

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

Gómez, J. A.

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

Hofmann, H. F.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Horne, M.

G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
[CrossRef]

Horne, M. A.

M. A. Horne, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).
[CrossRef]

Iinuma, M.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Jaeger, G.

G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
[CrossRef]

Kadoya, Y.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Kasai, K.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Klyshko, D.

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Korn, D.

Kuklewicz, C.

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

Lima, G.

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

Linden, N.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

Massar, S.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

Meda, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

Messin, G.

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

Monken, C.

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

Monken, C. H.

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
[CrossRef]

Nasr, M.

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

Neves, L.

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).

Nussenzveig, P.

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

Ostermeyer, M.

Pádua, S.

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
[CrossRef]

C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

Paulini, Z.

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

Peeters, W.

W. Peeters, and J. Renema, “andM. V. Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009).

Pironio, S.

T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).

Pittman, T.

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Popescu, S.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

Puhlmann, D.

Renema, J.

W. Peeters, and J. Renema, “andM. V. Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009).

Ribeiro, P.

C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

Rubin, M.

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Saavedra, C.

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).

Saleh, B.

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

Santos, I.

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

Sergienko, A.

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Shapiro, J.

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

Shih, Y.

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Shimony, A.

G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
[CrossRef]

Souto Ribeiro, P. H.

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

Strekalov, D.

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

Taguchi, G.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Teich, M.

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

Terra Cunha, M. O.

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

Thew, R. T.

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

Vértesi, T.

T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).

Walborn, S. P.

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

Wong, F.

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

Wootters, W.

W. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998).
[CrossRef]

Yoshimoto, N.

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

Zbinden, H.

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

Zeilinger, A.

M. A. Horne, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Photonics

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

Phys. Rev. A

S. P. Walborn, M. O. Terra Cunha, S. Pádua, and C. H. Monken, “Double-slit quantum eraser,” Phys. Rev. A 65, 033818 (2002).

B. Saleh, A. Abouraddy, A. Sergienko, and M. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000).

I. Santos, L. Neves, G. Lima, C. H. Monken, and S. Pádua, “Generation and detection of magnified images via illumination by entangled photon pairs,” Phys. Rev. A 72, 033802 (2005).

G. Jaeger, M. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).
[CrossRef]

P. H. Souto Ribeiro, S. Pádua, J. C. M. da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994).
[CrossRef]

T. Pittman, D. Strekalov, D. Klyshko, M. Rubin, A. Sergienko, and Y. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996).
[CrossRef]

E. J. S. Fonseca, Z. Paulini, P. Nussenzveig, C. H. Monken, and S. Pádua, “Nonlocal de Broglie wavelength of a two-particle system,” Phys. Rev. A 63, 043819 (2001).

G. Lima, L. Neves, I. Santos, J. A. Gómez, C. Saavedra, and S. Pádua, “Propagation of spatially entangled qudits through free space,” Phys. Rev. A 73, 032340 (2006).

L. Neves, S. Pádua, and C. Saavedra, “Controlled generation of maximally entangled qudits using twin photons,” Phys. Rev. A 69, 042305 (2004).

L. Neves, G. Lima, E. Fonseca, L. Davidovich, and S. Pádua, “Characterizing entanglement in qubits created with spatially correlated twin photons,” Phys. Rev. A 76, 032314 (2007).

G. Taguchi, T. Dougakiuchi, N. Yoshimoto, K. Kasai, M. Iinuma, H. F. Hofmann, and Y. Kadoya, “Measurement and control of spatial qubits generated by passing photons through double slits,” Phys. Rev. A 78, 012307 (2008).

W. Peeters, and J. Renema, “andM. V. Exter, “Engineering of two-photon spatial quantum correlations behind a double slit,” Phys. Rev. A 79, 043817 (2009).

C. Kuklewicz, M. Fiorentino, G. Messin, F. Wong, and J. Shapiro, “High-flux source of polarization-entangled photons from a periodically poled KTiOPO4 parametric down-converter,” Phys. Rev. A 69, 13807 (2004).

C. Monken, P. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

A. Abouraddy, M. Nasr, B. Saleh, A. Sergienko, and M. Teich, “Demonstration of the complementarity of oneand two-photon interference,” Phys. Rev. A 63, 063803 (2001).

Phys. Rev. Lett.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).

R. T. Thew, A. Acín, H. Zbinden, and N. Gisin, “Bell-type test of energy-time entangled qutrits,” Phys. Rev. Lett. 93, 010503 (2004).

T. Vértesi, S. Pironio, and N. Brunner, “Closing the Detection Loophole in Bell Experiments Using Qudits,” Phys. Rev. Lett. 104, 060401 (2010).

W. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998).
[CrossRef]

L. Neves, G. Lima, J. A. Gómez, C. Monken, C. Saavedra, and S. Pádua, “Generation of entangled states of qudits using twin photons,” Phys. Rev. Lett. 94, 100501 (2005).

A. Abouraddy, B. Saleh, A. Sergienko, and M. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001).

M. A. Horne, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).
[CrossRef]

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. R. Berchera, “Measurement of Sub-Shot-Noise Spatial Correlations without Background Subtraction,” Phys. Rev. Lett. 102, 213602 (2009).

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82, 2868–2871 (1999).
[CrossRef]

Other

J. Armstrong, N. Bloembergen, J. Ducuing, and P. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. (1962).

. F. Wong, M. A. Albota, F. Koenig, C. E. Kuklewicz, E. J. Mason, G. Messin, and J. H. Shapiro, “High-flux entanglement sources using periodically-poled nonlinear crystals,” Nonlinear Optics: Materials, Fundamentals and Applications (2002), paper FC8 (1).

Z.-Y. J. Ou, Multi-Photon Quantum Interference (Springer, 2007), 1st ed.

A. Cabello, and M. Terra Cunha, “Proposal of a two-qutrit contextuality test free of the finite precision and compatibility loopholes,” arXiv:1009.2330v1 [quant-ph] (2010).

O. Cosme, A. Delgado, G. Lima, C. H. Monken, and S. Pádua, “Controlling the transverse correlation in QPM parametric down-conversion,” arXiv:0906.4734v1 [quant-ph].

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), 3rd ed.

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

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.


Metrics