Abstract
Recently, Ge and Liu (Chin. Phys. Lett. 24(10):2727–2729, 2007) proposed a quantum secure direct communication (QSDC) protocol using a decoherence-free subspace (DFS) against collective-dephasing noise. Users of their protocol can directly recover the secret message after quantum transmission without transmission of any additional classical information except for the eavesdropping check. This study points out a pitfall in Ge and Liu’s scheme, in which an eavesdropper can deliberately modify the message without being detected. Furthermore, an enhanced scheme is proposed to avoid the modification attack and to improve the qubit efficiency from 8.3 % to 12.5 %.
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Acknowledgements
We would like to thank the anonymous reviewers for their very valuable comments, which greatly enhanced the clarity of this paper. We would also like to thank the National Science Council of Republic of China and the Research Center for Quantum Communication and Security, National Cheng Kung University, Taiwan, Republic of China, for the financial support of this research under Contract No. NSC 100-2221-E-006-152-MY3 and D100-36002, respectively.
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Yang, CW., Hwang, T. Improved QSDC Protocol over a Collective-Dephasing Noise Channel. Int J Theor Phys 51, 3941–3950 (2012). https://doi.org/10.1007/s10773-012-1286-4
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DOI: https://doi.org/10.1007/s10773-012-1286-4