## Schemes for entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity |

JOSA B, Vol. 28, Issue 8, pp. 2030-2037 (2011)

http://dx.doi.org/10.1364/JOSAB.28.002030

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### Abstract

We propose practical schemes for concentrating entanglement of a pair of unknown partially entangled Bell states and three-photon W states with cross-Kerr nonlinearity. In these schemes, utilizing local operations and classical communication, two separated parties can obtain one maximally entangled photon pair from two previously shared partially entangled photon pairs, and three separated parties can obtain one maximally entangled three-photon W state and a maximally entangled cluster state from two identical partially entangled three-photon W states with a certain success probability. Finally, we discuss the influence of sources of error and decoherence on the schemes. The proposed setup only employs some linear optical elements and the cross-Kerr medium, which greatly reduces the difficulty of experimental realization. These schemes are feasible with current experimental technology.

© 2011 Optical Society of America

**OCIS Codes**

(190.1900) Nonlinear optics : Diagnostic applications of nonlinear optics

(190.3270) Nonlinear optics : Kerr effect

(190.4370) Nonlinear optics : Nonlinear optics, fibers

(270.4180) Quantum optics : Multiphoton processes

(270.5565) Quantum optics : Quantum communications

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: March 30, 2011

Revised Manuscript: June 10, 2011

Manuscript Accepted: June 11, 2011

Published: July 27, 2011

**Citation**

Wei Xiong and Liu Ye, "Schemes for entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity," J. Opt. Soc. Am. B **28**, 2030-2037 (2011)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-8-2030

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