Quantum secure direct communication with Greenberger--Horne--Zeilinger-type state (GHZ state) over noisy channels
Zhang Xiao-Long(张小龙)a)†, Zhang Yue-Xia(张月霞)a), and Wei Hua(魏华)b)c)
a Center for Modern Physics and Department of Physics, Chongqing University, Chongqing 400044, China; b State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; cGraduate School of Chinese Academy of Sciences, Beijing 100190, China
Abstract We propose a quantum error-rejection scheme for direct communication with three-qubit quantum codes based on the direct communication of secret messages without any secret key shared in advance. Given the symmetric and independent errors of the transmitted qubits, our scheme can tolerate a bit of error rate up to 33.1%, thus the protocol is deterministically secure against any eavesdropping attack even in a noisy channel.
Received: 22 June 2008
Revised: 31 July 2008
Accepted manuscript online:
Fund: Project
supported partly by the National Natural Science Foundation of China
(Grant Nos 10774163, 10804132 and 10747167), the Natural Science
Foundation Project of Chongqing, Chongqing Science and Technology
Committee (CQ CSTC) (Grant No 2008BB0152) and p
Cite this article:
Zhang Xiao-Long(张小龙), Zhang Yue-Xia(张月霞), and Wei Hua(魏华) Quantum secure direct communication with Greenberger--Horne--Zeilinger-type state (GHZ state) over noisy channels 2009 Chin. Phys. B 18 435
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