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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 5 — May. 1, 2012
  • pp: 1029–1037

Efficient hyperentangled Greenberger–Horne–Zeilinger states analysis with cross-Kerr nonlinearity

Yan Xia, Qing-Qin Chen, Jie Song, and He-Shan Song  »View Author Affiliations


JOSA B, Vol. 29, Issue 5, pp. 1029-1037 (2012)
http://dx.doi.org/10.1364/JOSAB.29.001029


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Abstract

The entangled states analysis is a very important element for quantum information. It is impossible to unambiguously distinguish the three-photon Greenberger–Horne–Zeilinger (GHZ) states in polarization, resorting to linear optical elements only. Here, we propose an efficient scheme to complete three-photon hyperentangled GHZ states analysis (HGSA) with the help of the cross-Kerr nonlinearity. The three-photon HGSA scheme can also be generalized to N-photon hyperentangled GHZ states analysis. We discuss the application of the HGSA in the quantum secure direct communication (QSDC) with polarization and spatial-mode degrees of freedom. The results show that the HGSA not only increase the channel capacity but also ensure the unconditional security in long-distance quantum communication.

© 2012 Optical Society of America

OCIS Codes
(000.6800) General : Theoretical physics
(270.5565) Quantum optics : Quantum communications
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: December 8, 2011
Revised Manuscript: January 31, 2012
Manuscript Accepted: February 9, 2012
Published: April 23, 2012

Citation
Yan Xia, Qing-Qin Chen, Jie Song, and He-Shan Song, "Efficient hyperentangled Greenberger–Horne–Zeilinger states analysis with cross-Kerr nonlinearity," J. Opt. Soc. Am. B 29, 1029-1037 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-5-1029

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