Robust Semi-Quantum Summation over a Collective-Dephasing Noise Channel

Chun-Wei Yang, Chia-Wei Tsai, Chi-An Chen and Jason Lin ()
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Chun-Wei Yang: Master Program for Digital Health Innovation, College of Humanities and Sciences, China Medical University, No. 100, Sec. 1, Jingmao Rd., Beitun District, Taichung 406040, Taiwan
Chia-Wei Tsai: Department of Computer Science and Information Engineering, National Taichung University of Science and Technology, No.129, Sec. 3, Sanmin Rd., North District, Taichung 40401, Taiwan
Chi-An Chen: Master Program for Digital Health Innovation, College of Humanities and Sciences, China Medical University, No. 100, Sec. 1, Jingmao Rd., Beitun District, Taichung 406040, Taiwan
Jason Lin: Department of Computer Science and Engineering, National Chung Hsing University, No. 145, Xingda Rd., South District, Taichung 40227, Taiwan

Mathematics, 2023, vol. 11, issue 6, 1-13

Abstract: Quantum summation is one of the various applications in secure multi-party computation. However, most of the existing quantum summation protocols assume that the participants possess all the quantum devices. Considering future applications, the capability of the participants must be adjusted before it can be put into practical use. Although Boyer et al. proposed that the semi-quantum environment could be used to solve this problem; another practical problem is the interference by noise. In 2022, Ye et al. proposed a two-party semi-quantum summation (SQS) protocol resistant to the interference of collective noise, in which two classical participants can accomplish the summation of their private binary sequences with the assistance of a quantum semi-honest third party. They proved that their SQS protocol is resistant to various eavesdropping attacks. This paper unveils two risks of information leakage in Ye et al.’s SQS protocol. If the aforementioned security issues are not resolved, Ye et al.’s SQS protocol may not be able to perform private quantum computations securely. Fortunately, the SQS protocol against the collective-dephasing noise proposed in this study is free from the issue of information leakage as well as resistant to various quantum attacks. In addition, the quantum efficiency of the SQS protocol proposed in this study is four times higher than that of Ye et al.’s SQS protocol, which can effectively improve the quantum utilization rate.

Keywords: quantum cryptography; collective-dephasing noise; measure-resend; semi-quantum summation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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