Abstract

Single photons emerging from Pancharatnam–Berry phase optical elements (q plates) exhibit entanglement in the degrees of freedom of spin and orbital angular momentum. We put forward an experimental scheme for probing the spin–orbit correlations of single photons. It is found that the Clauser–Horne–Shimony–Holt parameter S for the single-photon spin–orbit entangled state could be as high as 22, evidently violating the Bell-like inequality and thus invalidating the noncontextual hidden variable theories.

© 2010 Optical Society of America

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  1. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
    [Crossref] [PubMed]
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    [Crossref]
  3. G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
    [Crossref]
  4. L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
    [Crossref] [PubMed]
  5. G. F. Calvo and A. Picon, “Spin-induced angular momentum switching,” Opt. Lett. 32, 838-840 (2007).
    [Crossref] [PubMed]
  6. E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
    [Crossref] [PubMed]
  7. E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
    [Crossref]
  8. E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
    [Crossref]
  9. Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
  14. M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004).
    [Crossref] [PubMed]
  15. A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
    [Crossref]
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    [Crossref]
  18. S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
    [Crossref]
  19. M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
    [Crossref] [PubMed]
  20. B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
    [Crossref]
  21. Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
    [Crossref] [PubMed]
  22. S. Pancharatnam, “Generalized theory of interference, and its applications,” Proc. Indian Acad. Sci., Sect. A 44, 247-262 (1956).
  23. M. V. Berry, “The adiabatic phase and the pancharatnam phase for polarized-light,” J. Mod. Opt. 34, 1401-1407 (1987).
    [Crossref]
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  25. L. Chen and W. She, “Increasing Shannon dimensionality by hyperentanglement of spin and fractional orbital angular momentum,” Opt. Lett. 34, 1855-1857 (2009).
    [Crossref] [PubMed]
  26. E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
    [Crossref] [PubMed]
  27. E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
    [Crossref]
  28. L. Marrucci, “Rotating light with light: generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Proc. SPIE 6587, 658708 (2007).
    [Crossref]
  29. J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
    [Crossref] [PubMed]
  30. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
    [Crossref] [PubMed]
  31. J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
    [Crossref] [PubMed]
  32. S. M. Roy and V. Singh, “Quantum violation of stochastic noncontextual hidden-variable theories,” Phys. Rev. A 48, 3379-3381 (1993).
    [Crossref] [PubMed]
  33. J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
    [Crossref]

2009 (8)

E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
[Crossref]

L. Chen and W. She, “Increasing Shannon dimensionality by hyperentanglement of spin and fractional orbital angular momentum,” Opt. Lett. 34, 1855-1857 (2009).
[Crossref] [PubMed]

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
[Crossref] [PubMed]

2008 (3)

2007 (5)

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
[Crossref]

G. F. Calvo and A. Picon, “Spin-induced angular momentum switching,” Opt. Lett. 32, 838-840 (2007).
[Crossref] [PubMed]

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

L. Deng, H. Wang, and K. Wang, “Quantum CNOT gates with orbital angular momentum and polarization of single-photon quantum logic,” J. Opt. Soc. Am. B 24, 2517-2520 (2007).
[Crossref]

L. Marrucci, “Rotating light with light: generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Proc. SPIE 6587, 658708 (2007).
[Crossref]

2006 (1)

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref] [PubMed]

2005 (1)

S. J. van Enk, “Single-particle entanglement,” Phys. Rev. A 72, 064306 (2005).
[Crossref]

2004 (2)

M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

2003 (1)

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

2002 (1)

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

2001 (3)

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Universal unitary gate for single-photon two-qubit states,” Phys. Rev. A 63, 032303 (2001).
[Crossref]

2000 (2)

M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
[Crossref] [PubMed]

J. C. Howell and J. A. Yeazell, “Quantum computation through entangling single photons in multipath interferometers,” Phys. Rev. Lett. 85, 198-201 (2000).
[Crossref] [PubMed]

1999 (1)

B. G. Englert, “Remark on some basic issues in quantum mechanics,” Z. Naturforsch. 54a, 11-32 (1999).

1993 (1)

S. M. Roy and V. Singh, “Quantum violation of stochastic noncontextual hidden-variable theories,” Phys. Rev. A 48, 3379-3381 (1993).
[Crossref] [PubMed]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

1987 (1)

M. V. Berry, “The adiabatic phase and the pancharatnam phase for polarized-light,” J. Mod. Opt. 34, 1401-1407 (1987).
[Crossref]

1969 (1)

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

1956 (1)

S. Pancharatnam, “Generalized theory of interference, and its applications,” Proc. Indian Acad. Sci., Sect. A 44, 247-262 (1956).

Allen, L.

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 2, 299-313 (2008).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

Badurek, G.

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

Bandyopadhyay, S.

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

Barnett, S. M.

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Baron, M.

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

Basu, S.

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

Beige, A.

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

Berry, M. V.

M. V. Berry, “The adiabatic phase and the pancharatnam phase for polarized-light,” J. Mod. Opt. 34, 1401-1407 (1987).
[Crossref]

Boyd, R. W.

Calvo, G. F.

Chen, L.

Chiu, D. T.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

Clauser, J.

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

Courtial, J.

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

De Martini, F.

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

De Zela, F.

B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
[Crossref]

Deng, L.

Edgar, J. S.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

Englert, B. G.

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Universal unitary gate for single-photon two-qubit states,” Phys. Rev. A 63, 032303 (2001).
[Crossref]

B. G. Englert, “Remark on some basic issues in quantum mechanics,” Z. Naturforsch. 54a, 11-32 (1999).

Fiorentino, M.

M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004).
[Crossref] [PubMed]

Franke-Arnold, S.

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
[Crossref] [PubMed]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 2, 299-313 (2008).
[Crossref]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Gadway, B. R.

B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
[Crossref]

Galvez, E. J.

B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
[Crossref]

Hasegawa, Y.

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

Holt, R. A.

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

Home, D.

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

Horne, M. A.

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

Howell, J. C.

J. C. Howell and J. A. Yeazell, “Quantum computation through entangling single photons in multipath interferometers,” Phys. Rev. Lett. 85, 198-201 (2000).
[Crossref] [PubMed]

Jack, B.

Jeffries, G. D. M.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

Jha, A. K.

Kar, G.

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

Karimi, E.

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

Kurtsiefer, C.

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Universal unitary gate for single-photon two-qubit states,” Phys. Rev. A 63, 032303 (2001).
[Crossref]

Leach, J.

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Loidl, R.

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref] [PubMed]

Marrucci, L.

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

L. Marrucci, “Rotating light with light: generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Proc. SPIE 6587, 658708 (2007).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref] [PubMed]

McGloin, D.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

Michler, M.

M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
[Crossref] [PubMed]

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
[Crossref]

Nagali, E.

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

Padgett, M.

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 2, 299-313 (2008).
[Crossref]

Padgett, M. J.

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287-8293 (2009).
[Crossref] [PubMed]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Pancharatnam, S.

S. Pancharatnam, “Generalized theory of interference, and its applications,” Proc. Indian Acad. Sci., Sect. A 44, 247-262 (1956).

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref] [PubMed]

Piccirillo, B.

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

Picon, A.

Rauch, H.

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

Ritsch-Marte, M.

Romero, J.

Roy, S. M.

S. M. Roy and V. Singh, “Quantum violation of stochastic noncontextual hidden-variable theories,” Phys. Rev. A 48, 3379-3381 (1993).
[Crossref] [PubMed]

Sansoni, L.

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

Santamato, E.

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, “Light propagation in a birefringent plate with topological charge,” Opt. Lett. 34, 1225-1227 (2009).
[Crossref] [PubMed]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

Sciarrino, F.

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745-18759 (2009).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

She, W.

Shimony, A.

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

Singh, V.

S. M. Roy and V. Singh, “Quantum violation of stochastic noncontextual hidden-variable theories,” Phys. Rev. A 48, 3379-3381 (1993).
[Crossref] [PubMed]

Skeldon, K.

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
[Crossref]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
[Crossref]

van Enk, S. J.

S. J. van Enk, “Single-particle entanglement,” Phys. Rev. A 72, 064306 (2005).
[Crossref]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

Wang, H.

Wang, K.

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

Weinfurter, H.

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Universal unitary gate for single-photon two-qubit states,” Phys. Rev. A 63, 032303 (2001).
[Crossref]

M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
[Crossref] [PubMed]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

Wong, F. N. C.

M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004).
[Crossref] [PubMed]

Yeazell, J. A.

J. C. Howell and J. A. Yeazell, “Quantum computation through entangling single photons in multipath interferometers,” Phys. Rev. Lett. 85, 198-201 (2000).
[Crossref] [PubMed]

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

Zhao, Y.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

Zukowski, M.

M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
[Crossref] [PubMed]

Appl. Phys. Lett. (1)

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, “Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates,” Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

J. Mod. Opt. (1)

M. V. Berry, “The adiabatic phase and the pancharatnam phase for polarized-light,” J. Mod. Opt. 34, 1401-1407 (1987).
[Crossref]

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

J. Phys. A (1)

A. Beige, B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Secure communication with single-photon two-qubit states,” J. Phys. A 35, L407-L413 (2002).
[Crossref]

J. Phys. B At. Mol. Opt. Phys. (1)

B. R. Gadway, E. J. Galvez, and F. De Zela, “Bell-inequality violations with single-photons entangled in momentum and polarization,” J. Phys. B At. Mol. Opt. Phys. 42, 015503 (2009).
[Crossref]

Laser Photonics Rev. (1)

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 2, 299-313 (2008).
[Crossref]

Nat. Photonics (1)

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720-723 (2009).
[Crossref]

Nat. Phys. (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305-310 (2007).
[Crossref]

Nature (2)

Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, and H. Rauch, “Violation of a Bell-like inequality in single-neutron interferometry,” Nature 425, 45-48 (2003).
[Crossref] [PubMed]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313-316 (2001).
[Crossref] [PubMed]

Opt. Express (3)

Opt. Lett. (4)

Phys. Lett. A (1)

S. Basu, S. Bandyopadhyay, G. Kar, and D. Home, “Bell's inequality for a single spin-1/2 particle and quantum contextuality,” Phys. Lett. A 279, 281-286 (2001).
[Crossref]

Phys. Rev. A (4)

B. G. Englert, C. Kurtsiefer, and H. Weinfurter, “Universal unitary gate for single-photon two-qubit states,” Phys. Rev. A 63, 032303 (2001).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185-8189 (1992).
[Crossref] [PubMed]

S. J. van Enk, “Single-particle entanglement,” Phys. Rev. A 72, 064306 (2005).
[Crossref]

S. M. Roy and V. Singh, “Quantum violation of stochastic noncontextual hidden-variable theories,” Phys. Rev. A 48, 3379-3381 (1993).
[Crossref] [PubMed]

Phys. Rev. Lett. (8)

J. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880-884 (1969).
[Crossref]

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon,” Phys. Rev. Lett. 92, 013601 (2004).
[Crossref] [PubMed]

E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009).
[Crossref] [PubMed]

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, “Spin-to-orbital angular momentum conversion in a strongly focused optical beam,” Phys. Rev. Lett. 99, 073901 (2007).
[Crossref] [PubMed]

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[Crossref] [PubMed]

M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004).
[Crossref] [PubMed]

J. C. Howell and J. A. Yeazell, “Quantum computation through entangling single photons in multipath interferometers,” Phys. Rev. Lett. 85, 198-201 (2000).
[Crossref] [PubMed]

M. Michler, H. Weinfurter, and M. Zukowski, “Experiments towards falsification of noncontextual hidden variable theories,” Phys. Rev. Lett. 84, 5457-5461 (2000).
[Crossref] [PubMed]

Proc. Indian Acad. Sci., Sect. A (1)

S. Pancharatnam, “Generalized theory of interference, and its applications,” Proc. Indian Acad. Sci., Sect. A 44, 247-262 (1956).

Proc. SPIE (1)

L. Marrucci, “Rotating light with light: generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Proc. SPIE 6587, 658708 (2007).
[Crossref]

Z. Naturforsch. (1)

B. G. Englert, “Remark on some basic issues in quantum mechanics,” Z. Naturforsch. 54a, 11-32 (1999).

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Figures (3)

Fig. 1
Fig. 1

Illustration of some types of q plates, in which the orientation of optical axis is locally tangent to the line: (a) is rotational invariance; while (b), (c), (d), and (e) are of onefold, twofold, threefold, and fourfold rotational symmetry, respectively.

Fig. 2
Fig. 2

Proposed experimental setup for testing the violation of the Bell-like Clauser–Horne–Shimony–Holt inequality for single-photon spin–orbit entanglement: SMF, single-mode fiber; QWP, quarter-wave plate; PBS, polarizing beam splitter; M, mirror; DP, Dove prism; HWP, half-wave plate; BS, nonpolarizing beam splitter; D, single-photon detector.

Fig. 3
Fig. 3

Theoretical single-photon counts N ( A i B j ) when varying the phase χ A while χ B is fixed at π 4 or π 4 . The four circles denote the cases for which S could be up to 2 2 .

Equations (5)

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

T q = [ 0 exp [ i 2 α ( r , ϕ ) ] exp [ i 2 α ( r , ϕ ) ] 0 ] .
Q ̂ ( q ) = exp ( i 2 α 0 ) | R , m + 2 q L , m | + exp ( i 2 α 0 ) | L , m 2 q R , m | .
| Ψ Hybird = 1 2 [ | L A ( | L | m = 2 ) B + | R A ( | R | m = + 2 ) B ] .
| ψ B = 1 2 ( | L | m = 2 + | R | m = + 2 ) B .
E ( χ A , χ B ) = ψ | B A ̂ ( χ A ) B ̂ ( χ B ) | ψ B = sin ( χ A + χ B ) = N ( A + B + ) + N ( A B ) N ( A + B ) N ( A B + ) N ( A + B + ) + N ( A B ) + N ( A + B ) + N ( A B + ) ,

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