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Fault-tolerant Semiquantum key Distribution Over a Collective-dephasing Noise Channel

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Abstract

Semiquantum key distribution (SQKD) allows two remote users, quantum Alice and classical Bob, to share a secret key via a quantum channel and an authenticated classical channel. In most of the existing SQKD protocols, SQKD is possible only under the assumption of ideal quantum channels. However, the noise in quantum channels is unavoidable. In this paper, we propose two fault-tolerant SQKD protocols, the randomization-based SQKD protocol and the measure-resend SQKD protocol, which are robust against the collective-dephasing noise. Logical qubits have been selected to build travelling blocks for constructing a decoherence-free subspace (DFS). Compared with the previous SQKD protocols, our protocols can provide higher communication fidelity. In addition, a security proof is given in the subsequent section.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No 61273250) and the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (Grant No CX201618).

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Authors and Affiliations

  1. School of Electronic and Information, Northwestern Polytechnical University, Xi’an, 710129, China

    Ming-Hui Zhang, Hui-Fang Li & Xiao-Yi Feng

  2. School of Information and Technology, Northwest University of China, Xi’an, 710127, China

    Jin-Ye Peng

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  1. Ming-Hui Zhang
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  2. Hui-Fang Li
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Correspondence to Ming-Hui Zhang.

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Zhang, MH., Li, HF., Peng, JY. et al. Fault-tolerant Semiquantum key Distribution Over a Collective-dephasing Noise Channel. Int J Theor Phys 56, 2659–2670 (2017). https://doi.org/10.1007/s10773-017-3422-7

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