Generation of hybrid polarization-orbital angular momentum entangled states

doi:10.1364/OE.18.018243

Generation of hybrid polarization-orbital angular momentum entangled states

Eleonora Nagali and Fabio Sciarrino »View Author Affiliations

Optics Express, Vol. 18, Issue 17, pp. 18243-18248 (2010)
http://dx.doi.org/10.1364/OE.18.018243

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Abstract

Hybrid entangled states exhibit entanglement between different degrees of freedom of a particle pair and thus could be useful for asymmetric optical quantum network where the communication channels are characterized by different properties. We report the first experimental realization of hybrid polarization-orbital angular momentum (OAM) entangled states by adopting a spontaneous parametric down conversion source of polarization entangled states and a polarization-OAM transferrer. The generated quantum states have been characterized through quantum state tomography. Finally, the violation of Bell’s inequalities with the hybrid two photon system has been observed.

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: May 6, 2010
Revised Manuscript: July 14, 2010
Manuscript Accepted: July 18, 2010
Published: August 10, 2010

Citation
Eleonora Nagali and Fabio Sciarrino, "Generation of hybrid polarization-orbital angular momentum entangled states," Opt. Express 18, 18243-18248 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-17-18243

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References

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002). [CrossRef]
F. De Martini, and F. Sciarrino, “Non-linear parametric processes in quantum information,” Prog. Quantum Electron. 29, 165 (2005). [CrossRef]
P. G. Kwiat, K. Mattle, H. Weinfurter, and A. Zeilinger, “New High-Intensity Source of Polarization-Entangled Photon Pairs,” Phys. Rev. Lett. 75, 4337 (1995). [CrossRef] [PubMed]
P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, “Ultrabright source of polarizationentangled photons,” Phys. Rev. A 60, R773 (1999). [CrossRef]
C. Cinelli, G. Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, “Parametric source of two-photon states with a tunable degree of entanglement and mixing: Experimental preparation of Werner states and maximally entangled mixed states,” Phys. Rev. A 70, 022321 (2004). [CrossRef]
G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305 (2007). [CrossRef]
S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 4, 299313 (2008).
J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Beating the channel capacity limit for linear photonic superdense coding,” Nat. Phys. 4, 282 (2008). [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 via Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720 (2009). [CrossRef]
A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412, 313 (2001). [CrossRef] [PubMed]
A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of Higher Dimensional Entanglement: Qutrits of Photon Orbital Angular Momentum,” Phys. Rev. Lett. 91, 227902 (2003). [CrossRef] [PubMed]
J. P. Torres, Y. Deyanova, and L. Torner, “Preparation of engineered two-photon entangled states for multidimensional quantum information,” Phys. Rev. A 67, 052313 (2003). [CrossRef]
G. Molina-Terriza, “A. Vaziri1, J. Rehcek, Z. Hradil, and A. Zeilinger, “Triggered Qutrits for Quantum Communication Protocols,” Phys. Rev. Lett. 92, 167903 (2004). [CrossRef] [PubMed]
N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93, 053601 (2004). [CrossRef] [PubMed]
G. Molina-Terriza, A. Vaziri, R. Ursin, and A. Zeilinger, “Experimental Quantum Coin Tossing,” Phys. Rev. Lett. 94, 040501 (2005). [CrossRef] [PubMed]
J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, “Generation of Hyperentangled photons pairs,” Phys. Rev. Lett. 95, 260501 (2005). [CrossRef]
S. S. R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E. R. Elie, G. W. Hooft, and J. P. Woerdman, “Experimental Demonstration of Fractional Orbital Angular Momentum Entanglement of Two Photons,” Phys. Rev. Lett. 95, 240501 (2005). [CrossRef] [PubMed]
B. P. Lanyon, T. J. Weinhold, and N. K. Langford, “J. L. OBrien, K. J. Resch, A. Gilchrist, and A. G. White, “Manipulating Biphotonic Qutrits,” Phys. Rev. Lett. 100, 060504 (2008). [CrossRef] [PubMed]
X. Ma, and A. Qarry, “J.s Kofler, T.Jennewein, and A. Zeilinger, “Experimental violation of a Bell inequality with two different degrees of freedom of entangled particle pairs,” Phys. Rev. A 79, 042101 (2009). [CrossRef]
L. Neves, G. Lima, A. Delgado, and C. Saavedra, “Hybrid photonic entanglement: Realization, characterization, and applications,” Phys. Rev. A 80, 042322 (2009). [CrossRef]
L. Chen, and W. She, “Teleportation of a controllable orbital angular momentum generator,” Phys. Rev. A 80, 063831 (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, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Polarization control of single photon quantum orbital angular momentum states,” Opt. Express 17, 18745 (2009). [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]
D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001). [CrossRef]
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed Experiment to Test Local Hidden-Variable Theories,” Phys. Rev. Lett. 23, 880 (1969). [CrossRef]

Aiello, A.
Allen, L.
Appelbaum, I.
Barbieri, M.
Barreiro, J. T.
Bartlett, S. D.
Chen, L.
Cinelli, C.
Clauser, J. F.
Dalton, R. B.
De Martini, F.
Delgado, A.
Deyanova, Y.
Di Nepi, G.
Eberhard, P. H.
Elie, E. R.
Franke-Arnold, S.
Gilchrist, A.
Gisin, N.
Harvey, M. D.
Holt, R. A.
Hooft, G. W.
Horne, M. A.
James, D. F. V.
Jennewein, T.
Karimi, E.
Kwiat, P. G.
Langford, N. K.
Lanyon, B. P.
Lima, G.
Ma, X.
Mair, A.
Manzo, C.
Marrucci, L.
Mataloni, P.
Mattle, K.
Molina-Terriza, G.
Munro, W. J.
Nagali, E.
Neves, L.
O’Brien, J. L.
Oemrawsingh, S. S. R.
Padgett, M.
Pan, J. W.
Paparo, D.
Peters, N. A.
Piccirillo, B.
Pryde, G. J.
Qarry, A.
Ribordy, G.
Saavedra, C.
Sansoni, L.
Santamato, E.
Sciarrino, F.
She, W.
Shimony, A.
Tittel, W.
Torner, L.
Torres, J. P.
Ursin, R.
Vaziri, A.
Voigt, D.
Waks, E.
Wei, T. C.
Weihs, G.
Weinfurter, H.
Weinhold, T. J.
White, A. G.
Woerdman, J. P.
Zbinden, H.
Zeilinger, A.

Laser Photonics Rev.

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 4, 299313 (2008).

Nat. Photonics

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 via Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720 (2009). [CrossRef]

Nat. Phys.

J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Beating the channel capacity limit for linear photonic superdense coding,” Nat. Phys. 4, 282 (2008). [CrossRef]
G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3, 305 (2007). [CrossRef]

Nature

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

Opt. Express

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

Phys. Rev. A

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001). [CrossRef]
P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, “Ultrabright source of polarizationentangled photons,” Phys. Rev. A 60, R773 (1999). [CrossRef]
C. Cinelli, G. Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, “Parametric source of two-photon states with a tunable degree of entanglement and mixing: Experimental preparation of Werner states and maximally entangled mixed states,” Phys. Rev. A 70, 022321 (2004). [CrossRef]
J. P. Torres, Y. Deyanova, and L. Torner, “Preparation of engineered two-photon entangled states for multidimensional quantum information,” Phys. Rev. A 67, 052313 (2003). [CrossRef]
X. Ma, and A. Qarry, “J.s Kofler, T.Jennewein, and A. Zeilinger, “Experimental violation of a Bell inequality with two different degrees of freedom of entangled particle pairs,” Phys. Rev. A 79, 042101 (2009). [CrossRef]
L. Neves, G. Lima, A. Delgado, and C. Saavedra, “Hybrid photonic entanglement: Realization, characterization, and applications,” Phys. Rev. A 80, 042322 (2009). [CrossRef]
L. Chen, and W. She, “Teleportation of a controllable orbital angular momentum generator,” Phys. Rev. A 80, 063831 (2009). [CrossRef]

Phys. Rev. Lett.

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]
G. Molina-Terriza, “A. Vaziri1, J. Rehcek, Z. Hradil, and A. Zeilinger, “Triggered Qutrits for Quantum Communication Protocols,” Phys. Rev. Lett. 92, 167903 (2004). [CrossRef] [PubMed]
N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93, 053601 (2004). [CrossRef] [PubMed]
G. Molina-Terriza, A. Vaziri, R. Ursin, and A. Zeilinger, “Experimental Quantum Coin Tossing,” Phys. Rev. Lett. 94, 040501 (2005). [CrossRef] [PubMed]
J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, “Generation of Hyperentangled photons pairs,” Phys. Rev. Lett. 95, 260501 (2005). [CrossRef]
S. S. R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E. R. Elie, G. W. Hooft, and J. P. Woerdman, “Experimental Demonstration of Fractional Orbital Angular Momentum Entanglement of Two Photons,” Phys. Rev. Lett. 95, 240501 (2005). [CrossRef] [PubMed]
B. P. Lanyon, T. J. Weinhold, and N. K. Langford, “J. L. OBrien, K. J. Resch, A. Gilchrist, and A. G. White, “Manipulating Biphotonic Qutrits,” Phys. Rev. Lett. 100, 060504 (2008). [CrossRef] [PubMed]
P. G. Kwiat, K. Mattle, H. Weinfurter, and A. Zeilinger, “New High-Intensity Source of Polarization-Entangled Photon Pairs,” Phys. Rev. Lett. 75, 4337 (1995). [CrossRef] [PubMed]
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed Experiment to Test Local Hidden-Variable Theories,” Phys. Rev. Lett. 23, 880 (1969). [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]
A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of Higher Dimensional Entanglement: Qutrits of Photon Orbital Angular Momentum,” Phys. Rev. Lett. 91, 227902 (2003). [CrossRef] [PubMed]

Prog. Quantum Electron.

F. De Martini, and F. Sciarrino, “Non-linear parametric processes in quantum information,” Prog. Quantum Electron. 29, 165 (2005). [CrossRef]

Rev. Mod. Phys.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002). [CrossRef]

2009, Nagali, Nat. Photonics
2009, Ma, Phys. Rev. A
2009, Neves, Phys. Rev. A
2009, Chen, Phys. Rev. A
2009, Nagali, Phys. Rev. Lett.
2009, Nagali, Opt. Express
2008, Lanyon, Phys. Rev. Lett.
2008, Franke-Arnold, Laser Photonics Rev.
2008, Barreiro, Nat. Phys.
2007, Molina-Terriza, Nat. Phys.
2006, Marrucci, Phys. Rev. Lett.
2005, De Martini, Prog. Quantum Electron.
2005, Molina-Terriza, Phys. Rev. Lett.
2005, Barreiro, Phys. Rev. Lett.
2005, Oemrawsingh, Phys. Rev. Lett.
2004, Molina-Terriza, Phys. Rev. Lett.
2004, Langford, Phys. Rev. Lett.
2004, Cinelli, Phys. Rev. A
2003, Vaziri, Phys. Rev. Lett.
2003, Torres, Phys. Rev. A
2002, Gisin, Rev. Mod. Phys.
2001, Mair, Nature
2001, James, Phys. Rev. A
1999, Kwiat, Phys. Rev. A
1995, Kwiat, Phys. Rev. Lett.
1969, Clauser, Phys. Rev. Lett.

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[1] N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002). [CrossRef]

[2] F. De Martini, and F. Sciarrino, “Non-linear parametric processes in quantum information,” Prog. Quantum Electron. 29, 165 (2005). [CrossRef]

[3] P. G. Kwiat, K. Mattle, H. Weinfurter, and A. Zeilinger, “New High-Intensity Source of Polarization-Entangled Photon Pairs,” Phys. Rev. Lett. 75, 4337 (1995). [CrossRef] [PubMed]

[4] P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, “Ultrabright source of polarizationentangled photons,” Phys. Rev. A 60, R773 (1999). [CrossRef]

[5] C. Cinelli, G. Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, “Parametric source of two-photon states with a tunable degree of entanglement and mixing: Experimental preparation of Werner states and maximally entangled mixed states,” Phys. Rev. A 70, 022321 (2004). [CrossRef]

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

[7] S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev. 4, 299313 (2008).

[8] J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Beating the channel capacity limit for linear photonic superdense coding,” Nat. Phys. 4, 282 (2008). [CrossRef]

[9] 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 via Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720 (2009). [CrossRef]

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

[11] A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of Higher Dimensional Entanglement: Qutrits of Photon Orbital Angular Momentum,” Phys. Rev. Lett. 91, 227902 (2003). [CrossRef] [PubMed]

[12] J. P. Torres, Y. Deyanova, and L. Torner, “Preparation of engineered two-photon entangled states for multidimensional quantum information,” Phys. Rev. A 67, 052313 (2003). [CrossRef]

[13] G. Molina-Terriza, “A. Vaziri1, J. Rehcek, Z. Hradil, and A. Zeilinger, “Triggered Qutrits for Quantum Communication Protocols,” Phys. Rev. Lett. 92, 167903 (2004). [CrossRef] [PubMed]

[14] N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. O’Brien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment,” Phys. Rev. Lett. 93, 053601 (2004). [CrossRef] [PubMed]

[15] G. Molina-Terriza, A. Vaziri, R. Ursin, and A. Zeilinger, “Experimental Quantum Coin Tossing,” Phys. Rev. Lett. 94, 040501 (2005). [CrossRef] [PubMed]

[16] J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, “Generation of Hyperentangled photons pairs,” Phys. Rev. Lett. 95, 260501 (2005). [CrossRef]

[17] S. S. R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E. R. Elie, G. W. Hooft, and J. P. Woerdman, “Experimental Demonstration of Fractional Orbital Angular Momentum Entanglement of Two Photons,” Phys. Rev. Lett. 95, 240501 (2005). [CrossRef] [PubMed]

[18] B. P. Lanyon, T. J. Weinhold, and N. K. Langford, “J. L. OBrien, K. J. Resch, A. Gilchrist, and A. G. White, “Manipulating Biphotonic Qutrits,” Phys. Rev. Lett. 100, 060504 (2008). [CrossRef] [PubMed]

[19] X. Ma, and A. Qarry, “J.s Kofler, T.Jennewein, and A. Zeilinger, “Experimental violation of a Bell inequality with two different degrees of freedom of entangled particle pairs,” Phys. Rev. A 79, 042101 (2009). [CrossRef]

[20] L. Neves, G. Lima, A. Delgado, and C. Saavedra, “Hybrid photonic entanglement: Realization, characterization, and applications,” Phys. Rev. A 80, 042322 (2009). [CrossRef]

[21] L. Chen, and W. She, “Teleportation of a controllable orbital angular momentum generator,” Phys. Rev. A 80, 063831 (2009). [CrossRef]

[22] 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]

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

[24] 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]

[25] D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001). [CrossRef]

[26] J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed Experiment to Test Local Hidden-Variable Theories,” Phys. Rev. Lett. 23, 880 (1969). [CrossRef]

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Generation of hybrid polarization-orbital angular momentum entangled states

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Abstract

References

Laser Photonics Rev.

Nat. Photonics

Nat. Phys.

Nature

Opt. Express

Phys. Rev. A

Phys. Rev. Lett.

Prog. Quantum Electron.

Rev. Mod. Phys.

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