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Improvement of Quantum Protocols for Secure Multi-Party Summation

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Abstract

Secure multi-party quantum summation is an important branch of secure multi-party quantum computation. Recently, Ji et al. suggested a secure multi-party quantum summation scheme based on the entanglement swapping between the d-level Bell state and the d -level n+1-particle cat state (Quantum Inf Process (2019)18:168). In this paper, it is pointed out that Ji et al.’s secure multi-party quantum summation scheme has a security loophole, i.e., the third party (TP) can obtain the secret numbers of n communicants without being discovered. Then, in order to avoid this security loophole, an improvement is suggested by adopting the method of encrypting the secret integers of n communicants with a pre-shared private key sequence among them.

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Acknowledgements

Funding by the Public Welfare Project Foundation of Zhejiang Provincial Science and Technology Department (Grant No. LGG18F020006) and the Foundation of Zhejiang Provincial Education Department (Grant No. Y201737672) is gratefully acknowledged.

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  1. College of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, People’s Republic of China

    Gan Zhi-Gang

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  1. Gan Zhi-Gang
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Correspondence to Gan Zhi-Gang.

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Zhi-Gang, G. Improvement of Quantum Protocols for Secure Multi-Party Summation. Int J Theor Phys 59, 3086–3092 (2020). https://doi.org/10.1007/s10773-020-04555-5

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