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Three-party quantum summation without a trusted third party

Cai Zhang

School of Information Science and Technology, Sun Yat-sen University, Guangzhou, Guangdong 510006, P. R. China

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Zhi-Wei Sun

College of Information Engineering, Shenzhen University, Shenzhen, Guangdong 518060, P. R. China

Corresponding author.

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Xiang Huang

School of Information Science and Technology, Sun Yat-sen University, Guangzhou, Guangdong 510006, P. R. China

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, and

Dong-Yang Long

School of Information Science and Technology, Sun Yat-sen University, Guangzhou, Guangdong 510006, P. R. China

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https://doi.org/10.1142/S0219749915500112Cited by:51 (Source: Crossref)

Abstract

In this paper, we propose a quantum summation protocol, in which the genuinely maximally entangled six-qubit states found by Borras et al., are employed. Because of the excellent properties of the genuinely maximally entangled six-qubit states, the presented protocol allows three participants to compute the summation of their inputs without the help of a trusted third party and preserve the privacy of their inputs, respectively. The participants do not need any unitary operations. In addition, the proposed protocol utilizes the one-step quantum transmission and therefore is congenitally free from Trojan horse attacks. We have also shown that our protocol is secure against other well-known attacks over lossy and noisy quantum channels.

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