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Chin. Phys. B, 2022, Vol. 31(5): 050308    DOI: 10.1088/1674-1056/ac5a3f
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Efficient quantum private comparison protocol based on one direction discrete quantum walks on the circle

Jv-Jie Wang(王莒杰)1, Zhao Dou(窦钊)1,†, Xiu-Bo Chen(陈秀波)1, Yu-Ping Lai(赖裕平)2, and Jian Li(李剑)2
1 Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 Information Security Center, School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract  We propose an efficient quantum private comparison protocol firstly based on one direction quantum walks. With the help of one direction quantum walk, we develop a novel method that allows the semi-honest third party to set a flag to judge the comparing result, which improves the qubit efficiency and the maximum quantity of the participants' secret messages. Besides, our protocol can judge the size of the secret messages, not only equality. Furthermore, the quantum walks particle is disentangled in the initial state. It only requires a quantum walks operator to move, making our proposed protocol easy to implement and reducing the quantum resources. Through security analysis, we prove that our protocol can withstand well-known attacks and brute-force attacks. Analyses also reveal that our protocol is correct and practical.
Keywords:  quantum private comparison protocol      one direction quantum walks      efficiency      brute-force attack  
Received:  17 December 2021      Revised:  17 February 2022      Accepted manuscript online: 
PACS:  03.67.Dd (Quantum cryptography and communication security)  
  03.67.Hk (Quantum communication)  
  03.67.Ac (Quantum algorithms, protocols, and simulations)  
Fund: Project supported by the National Key R&D Program of China (Grant No.2020YFB1805405),the 111 Project (Grant No.B21049),the Foundation of Guizhou Provincial Key Laboratory of Public Big Data (Grant No.2019BDKFJJ014),and the Fundamental Research Funds for the Central Universities,China (Grant No.2020RC38).
Corresponding Authors:  Zhao Dou,E-mail:dou@bupt.edu.cn     E-mail:  dou@bupt.edu.cn
About author:  2022-3-3

Cite this article: 

Jv-Jie Wang(王莒杰), Zhao Dou(窦钊), Xiu-Bo Chen(陈秀波), Yu-Ping Lai(赖裕平), and Jian Li(李剑) Efficient quantum private comparison protocol based on one direction discrete quantum walks on the circle 2022 Chin. Phys. B 31 050308

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