中国物理B ›› 2024, Vol. 33 ›› Issue (11): 110303-110303.doi: 10.1088/1674-1056/ad73ae

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Multi-party semi-quantum private comparison protocol of size relation based on two-dimensional Bell states

Bing Wang(王冰)1,2, Li-Hua Gong(龚黎华)1,3, and San-Qiu Liu(刘三秋)1,2,†   

  1. 1 Jiangxi Province Key Laboratory of Fusion and Information Control, Department of Physics, Nanchang University, Nanchang 330031, China;
    2 School of Physics and Materials, Nanchang University, Nanchang 330031, China;
    3 Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
  • 收稿日期:2024-03-27 修回日期:2024-08-15 接受日期:2024-08-27 出版日期:2024-11-15 发布日期:2024-11-15
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant No. 62161025), the Project of Scientific and Technological Innovation Base of Jiangxi Province (Grant No. 20203CCD46008), and the Jiangxi Provincial Key Laboratory of Fusion and Information Control (Grant No. 20171BCD40005).

Multi-party semi-quantum private comparison protocol of size relation based on two-dimensional Bell states

Bing Wang(王冰)1,2, Li-Hua Gong(龚黎华)1,3, and San-Qiu Liu(刘三秋)1,2,†   

  1. 1 Jiangxi Province Key Laboratory of Fusion and Information Control, Department of Physics, Nanchang University, Nanchang 330031, China;
    2 School of Physics and Materials, Nanchang University, Nanchang 330031, China;
    3 Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
  • Received:2024-03-27 Revised:2024-08-15 Accepted:2024-08-27 Online:2024-11-15 Published:2024-11-15
  • Contact: San-Qiu Liu E-mail:sqlgroup@ncu.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant No. 62161025), the Project of Scientific and Technological Innovation Base of Jiangxi Province (Grant No. 20203CCD46008), and the Jiangxi Provincial Key Laboratory of Fusion and Information Control (Grant No. 20171BCD40005).

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摘要： Currently, all quantum private comparison protocols based on two-dimensional quantum states can only compare equality, via using high-dimensional quantum states that it is possible to compare the size relation in existing work. In addition, it is difficult to manipulate high-dimensional quantum states under the existing conditions of quantum information processing, leading to low practicality and engineering feasibility of protocols for comparing size relation. Considering this situation, we propose an innovative protocol. The proposed protocol can make size comparison by exploiting more manageable two-dimensional Bell states, which significantly enhances its feasibility with current quantum technologies. Simultaneously, the proposed protocol enables multiple participants to compare their privacies with the semi-quantum model. The communication process of the protocol is simulated on the IBM Quantum Experience platform to verify its effectiveness. Security analysis shows that the proposed protocol can withstand common attacks while preserving the privacies of all participants. Thus, the devised protocol may provide an important reference for implementation of quantum private size comparison protocols.

关键词: two-dimensional Bell state, size relation, multi-party, semi-quantum private comparison

Abstract: Currently, all quantum private comparison protocols based on two-dimensional quantum states can only compare equality, via using high-dimensional quantum states that it is possible to compare the size relation in existing work. In addition, it is difficult to manipulate high-dimensional quantum states under the existing conditions of quantum information processing, leading to low practicality and engineering feasibility of protocols for comparing size relation. Considering this situation, we propose an innovative protocol. The proposed protocol can make size comparison by exploiting more manageable two-dimensional Bell states, which significantly enhances its feasibility with current quantum technologies. Simultaneously, the proposed protocol enables multiple participants to compare their privacies with the semi-quantum model. The communication process of the protocol is simulated on the IBM Quantum Experience platform to verify its effectiveness. Security analysis shows that the proposed protocol can withstand common attacks while preserving the privacies of all participants. Thus, the devised protocol may provide an important reference for implementation of quantum private size comparison protocols.

Key words: two-dimensional Bell state, size relation, multi-party, semi-quantum private comparison

中图分类号:  (Quantum cryptography and communication security)

  • 03.67.Dd
03.67.Hk (Quantum communication) 03.67.-a (Quantum information) 03.67.Ac (Quantum algorithms, protocols, and simulations)