Fault tolerant deterministic secure quantum communication using logical Bell states against collective noise

Wang Chao^{a b}, Liu Jian-Wei^{a}, Chen Xiu-Bo^{c d}, Bi Ya-Gang^{b}, Shang Tao^{a}

a School of Electronic and Information Engineering, Beihang University, Beijing 100191, China; b Air Force Command College, Beijing 100097, China; c Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; d State Key Laboratory of Information Security (Institute of Information Engineering, Chinese Academy of Sciences), Beijing 100093, China

Abstract This study proposes two novel fault tolerant deterministic secure quantum communication (DSQC) schemes resistant to collective noise using logical Bell states. Either DSQC scheme is constructed based on a new coding function, which is designed by exploiting the property of the corresponding logical Bell states immune to collective-dephasing noise and collective-rotation noise, respectively. The secret message can be encoded by two simple unitary operations and decoded by merely performing Bell measurements, which can make the proposed scheme more convenient in practical applications. Moreover, the strategy of one-step quanta transmission, together with the technique of decoy logical qubits checking not only reduces the influence of other noise existing in a quantum channel, but also guarantees the security of the communication between two legitimate users. The final analysis shows that the proposed schemes are feasible and robust against various well-known attacks over the collective noise channel.

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61272501, 61272514, 61170272, 61472048, 61402058, 61121061, and 61411146001), the Program for New Century Excellent Talents in University of China (Grant No. NCET-13-0681), the National Development Foundation for Cryptological Research (Grant No. MMJJ201401012), the Fok Ying Tong Education Foundation (Grant No. 131067), the Natural Science Foundation of Beijing (Grant Nos. 4132056 and 4152038), the Postdoctoral Science Foundation of China (Grant No. 2014M561826), and the National Key Basic Research Program, China (Grant No. 2012CB315905)

Corresponding Authors:
Wang Chao
E-mail: wangchaopaper@126.com

Cite this article:

Wang Chao, Liu Jian-Wei, Chen Xiu-Bo, Bi Ya-Gang, Shang Tao Fault tolerant deterministic secure quantum communication using logical Bell states against collective noise 2015 Chin. Phys. B 24 040304

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