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Two-party secure semiquantum summation against the collective-dephasing noise

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Abstract

In this paper, we propose a two-party semiquantum summation protocol, where two classical users can accomplish the summation of their private binary sequences with the assistance of a quantum semi-honest third party (TP). The term ‘semi-honest’ implies that TP cannot conspire with others but is able to implement all kinds of attacks. This protocol employs logical qubits as traveling particles to overcome the negative influence of collective–dephasing noise and need not make any two parties pre-share a random secret key. The security analysis turns out that this protocol can effectively prevent the outside attacks from Eve and the participant attacks from TP. Moreover, TP has no knowledge about the summation results.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments that help enhancing the quality of this paper. Funding by the National Natural Science Foundation of China (Grant No.62071430), the Fundamental Research Funds for the Provincial Universities of Zhejiang (Grant No. JRK21002) and Zhejiang Gongshang University, Zhejiang Provincial Key Laboratory of New Network Standards and Technologies (No.2013E10012) is gratefully acknowledged.

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Authors and Affiliations

  1. College of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, People’s Republic of China

    Tian-Yu Ye, Tian-Jie Xu, Mao-Jie Geng & Ying Chen

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  1. Tian-Yu Ye
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  2. Tian-Jie Xu
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  3. Mao-Jie Geng
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  4. Ying Chen
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Correspondence to Tian-Yu Ye.

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Ye, TY., Xu, TJ., Geng, MJ. et al. Two-party secure semiquantum summation against the collective-dephasing noise. Quantum Inf Process 21, 118 (2022). https://doi.org/10.1007/s11128-022-03459-z

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