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Chin. Phys. B, 2024, Vol. 33(11): 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 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
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.
Keywords:  two-dimensional Bell state      size relation      multi-party      semi-quantum private comparison  
Received:  27 March 2024      Revised:  15 August 2024      Accepted manuscript online:  27 August 2024
PACS:  03.67.Dd (Quantum cryptography and communication security)  
  03.67.Hk (Quantum communication)  
  03.67.-a (Quantum information)  
  03.67.Ac (Quantum algorithms, protocols, and simulations)  
Fund: 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).
Corresponding Authors:  San-Qiu Liu     E-mail:  sqlgroup@ncu.edu.cn

Cite this article: 

Bing Wang(王冰), Li-Hua Gong(龚黎华), and San-Qiu Liu(刘三秋) Multi-party semi-quantum private comparison protocol of size relation based on two-dimensional Bell states 2024 Chin. Phys. B 33 110303

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[1] Semi-quantum private comparison protocol of size relation with d-dimensional GHZ states
Bing Wang(王冰), San-Qiu Liu(刘三秋), and Li-Hua Gong(龚黎华). Chin. Phys. B, 2022, 31(1): 010302.
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