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arXiv · 1801.05939

A secret sharing scheme on p^2 -dimensional quantum system

Na Hao·Zhi-Hui Li·Hai-Yan Bai·Chen-Ming Bai
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Abstract

In this paper, we give the mutually unbiased bases on the p^2 -dimensional quantum system where p is an odd prime number, and construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Then, we construct a (N,N) threshold secret sharing scheme using unitary transformation between these mutually unbiased bases, and analyze the scheme's security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, Trojan horse attack, and so on. Using our method, we construct a single-particle quantum protocol involving only one qudit, and the method shows much more scalability than other schemes.

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Na Hao, Zhi-Hui Li, Hai-Yan Bai, Chen-Ming Bai. 2018-01-18. A secret sharing scheme on p^2 -dimensional quantum system. https://arxiv.org/abs/1801.05939

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