In this paper, we put forward a new secret sharing scheme. First, we give the mutually unbiased bases on the p2-dimensional quantum system where p is an odd prime number, and then we construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Second, we construct a (N, N) threshold secret sharing scheme by using unitary transformation between these mutually unbiased bases. At last, we 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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This work was sponsored by the National Natural Science Foundation of China under Grant No.61373150 and No.61602291, and supported by “the Fundamental Research Funds for the Central Universities” under Grant No.GK201603087.
Wang, J.T., Li, L.X., Peng, H.P., Yang, Y.X.: Quantum-secret-sharing scheme based on local distinguishability of orthogonal multiqudit entangled states. Phys. Rev. A 95, 022320 (2017)ADSCrossRefGoogle Scholar