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
Original Manuscript: June 19, 2012
Revised Manuscript: July 25, 2012
Manuscript Accepted: August 17, 2012
Published: September 21, 2012
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)