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Secure two-party integer comparison protocol without any third party

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Abstract

Secure two-party integer comparison is a primitive problem of secure multiparty computations that enables two parties to decide whether \(x>y\) without disclosing anything about \(x\) and \(y\), where \(x\) and \(y\) are two integers held privately by two parties, respectively. This paper presents a novel and efficient quantum protocol for secure two-party integer comparison without any third party. This protocol tactfully adopts the ideas of quantum private query so that it achieves an exponential reduction in communication complexity because it only requires \(O(1)\) communication cost.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (No. 61772001).

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  1. School of Computer Sciences, Hubei University of Technology, Wuhan City, 430068, China

    Run-hua Shi, Bai Liu & Mingwu Zhang

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  1. Run-hua Shi
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  2. Bai Liu
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  3. Mingwu Zhang
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Correspondence to Run-hua Shi.

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Shi, Rh., Liu, B. & Zhang, M. Secure two-party integer comparison protocol without any third party. Quantum Inf Process 20, 402 (2021). https://doi.org/10.1007/s11128-021-03344-1

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