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Quantum private comparison protocol based on 4D GHZ-like states

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Abstract

This paper proposes a new private comparison protocol based on four-dimensional three-particle GHZ-like states. The QPC protocol allows two participants with limited quantum abilities to compare their private information whether they are equal or not with the help of a semi-honest third party. The semi-honest third party means that it may be unfaithful on his own behavior, though it will execute the protocol loyally. The presented QPC protocol not only reduces the requirement on quantum operations without involving the unitary operation, but it also requires only the single-particle measurement. The quantum circuit of the six-qubit state and the measurement results are presented under the IBM Quantum Experimental platform. The correctness and the effectiveness of the suggested protocol are illustrated with some examples. In addition, detailed security analysis demonstrates that the proposed two-party QPC protocol is secure against the internal and external attacks.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 62161025), the Top Double 1000 Talent Programme of Jiangxi Province (Grant No. JXSQ2019201055), and the Innovation Special Foundation of Graduate Student of Jiangxi Province (Grant No. YC2022-S122).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Chao Liu

  2. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Songjiang, Shanghai, 201620, China

    Shun Zhou & Li-Hua Gong

  3. Department of Physics, Nanchang University, Nanchang, 330031, China

    Hua-Ying Chen

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  1. Chao Liu
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  2. Shun Zhou
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  3. Li-Hua Gong
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  4. Hua-Ying Chen
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Correspondence to Hua-Ying Chen.

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Liu, C., Zhou, S., Gong, LH. et al. Quantum private comparison protocol based on 4D GHZ-like states. Quantum Inf Process 22, 255 (2023). https://doi.org/10.1007/s11128-023-03999-y

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