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

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

© 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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