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Efficient Quantum Private Comparison with Unitary Operations

Author

Listed:
  • Min Hou

    (School of Computer Science, Sichuan University Jinjiang College, Meishan 620860, China
    Network and Data Security Key Laboratory of Sichuan Province, University of Electronic Science and Technology of China, Chengdu 610054, China
    State Key Laboratory of Cognitive Intelligence, Hefei 230088, China)

  • Yue Wu

    (School of Computer Science, Sichuan University Jinjiang College, Meishan 620860, China)

Abstract

Quantum private comparison (QPC) is a crucial component of quantum multiparty computing (QMPC), allowing parties to compare their private inputs while ensuring that no sensitive information is disclosed. Many existing QPC protocols that utilize Bell states encounter efficiency challenges. In this paper, we present a novel and efficient QPC protocol that capitalizes on the distinct characteristics of Bell states to enable secure comparisons. Our method transforms private inputs into unitary operations on shared Bell states, which are then returned to a third party to obtain the comparison results. This approach enhances efficiency and decreases the reliance on complex quantum resources. A single Bell state can compare two classical bits, achieving a qubit efficiency of 100%. We illustrate the feasibility of the protocol through a simulation on the IBM Quantum Cloud Platform. The security analysis confirms that our protocol is resistant to both eavesdropping and attacks from participants.

Suggested Citation

  • Min Hou & Yue Wu, 2024. "Efficient Quantum Private Comparison with Unitary Operations," Mathematics, MDPI, vol. 12(22), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3541-:d:1519588
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    References listed on IDEAS

    as
    1. Huang, Xi & Zhang, Wenfang & Zhang, Shibin, 2024. "Quantum multi-party private set intersection using single photons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 649(C).
    2. Ye, Tian-Yu & Lian, Jiang-Yuan, 2023. "A novel multi-party semiquantum private comparison protocol of size relationship with d-dimensional single-particle states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
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