## Quantum key distribution with Einstein–Podolsky–Rosen pairs associated with weak cross-Kerr nonlinearities |

JOSA B, Vol. 29, Issue 10, pp. 2869-2874 (2012)

http://dx.doi.org/10.1364/JOSAB.29.002869

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### Abstract

We propose a protocol sharing Einstein–Podolsky–Rosen pairs based on weak cross-Kerr nonlinearities and the coherent state at first. If the security check is passed, the checked photons can be applied in the next communication process due to the application of quantum nondemolition measurements, which improves the efficiency and the security of the distribution process. As its applications, we present two quantum key distribution protocols. A random key can be transmitted using the path analyzers based on the idea of BBM92-QKD protocol. Moreover, the sender performs the parity measurement and publicizes the measurement outcomes, and thus the recipient performs computational basis measurements to obtain a deterministic key.

© 2012 Optical Society of America

**OCIS Codes**

(270.5565) Quantum optics : Quantum communications

(270.5568) Quantum optics : Quantum cryptography

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: June 19, 2012

Revised Manuscript: July 25, 2012

Manuscript Accepted: August 17, 2012

Published: September 21, 2012

**Citation**

Xiao-Ming Xiu, Li Dong, Ya-Jun Gao, and X. X. Yi, "Quantum key distribution with Einstein–Podolsky–Rosen pairs associated with weak cross-Kerr nonlinearities," J. Opt. Soc. Am. B **29**, 2869-2874 (2012)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-10-2869

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