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Quantum Privacy Comparison with R y Rotation Operation

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  • 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

This paper presents a novel quantum privacy comparison (QPC) protocol that employs R y rotation operations to enable two participants to securely compare their binary secrets without disclosing the actual data to any party except for the comparison result. In this protocol, classical bits 0 and 1 are encoded as rotation angles 0 and π, respectively, using the R y rotation operation. The participants apply these rotations to quantum sequences received from a semi-honest third party (TP) and return the encoded sequences to the TP. The TP then performs quantum measurements to determine the comparison result and announces it to the participants, ensuring fairness and privacy throughout the process. By leveraging the principles of quantum mechanics, the protocol is resistant to various quantum attack strategies, providing robust security against both external adversaries and insider threats. The protocol utilizes Bell states as quantum resources, R y rotation operations for encoding classical information, and quantum measurements to derive the comparison result, making it experimentally feasible with current quantum technologies. Simulations conducted on a quantum platform validate the protocol’s practicality. Furthermore, each Bell state is used to compare one bit of binary information, achieving a qubit efficiency of 50%.

Suggested Citation

  • Min Hou & Yue Wu, 2025. "Quantum Privacy Comparison with R y Rotation Operation," Mathematics, MDPI, vol. 13(7), pages 1-13, March.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1071-:d:1620338
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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. Wei Zhang & Tim Leent & Kai Redeker & Robert Garthoff & René Schwonnek & Florian Fertig & Sebastian Eppelt & Wenjamin Rosenfeld & Valerio Scarani & Charles C.-W. Lim & Harald Weinfurter, 2022. "A device-independent quantum key distribution system for distant users," Nature, Nature, vol. 607(7920), pages 687-691, July.
    3. Sheng-Kai Liao & Wen-Qi Cai & Wei-Yue Liu & Liang Zhang & Yang Li & Ji-Gang Ren & Juan Yin & Qi Shen & Yuan Cao & Zheng-Ping Li & Feng-Zhi Li & Xia-Wei Chen & Li-Hua Sun & Jian-Jun Jia & Jin-Cai Wu & , 2017. "Satellite-to-ground quantum key distribution," Nature, Nature, vol. 549(7670), pages 43-47, September.
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