Secret sharing scheme based on even-dimensional single-quantum system

Abstract

Abstract: Tavakoli et al. used the cyclic property of the mutually unbiased basis and unitary transformations on it for the odd prime dimension, and designed a secret sharing scheme for d dimensional single quantum systems based on the mutually unbiased basis.Firstly, the class of standard orthogonal basis on even dimensional quantum systems is constructed, and relevant conclusions are given, and then an threshold quantum secret sharing scheme based on the properties of the basis and unitary transformations on it is proposed. In contrast to Tavakoli’s scheme, the measurement efficiency of the proposed scheme has been doubled. And here are the corresponding basis, unitary matrix and related results about for illustration. Finally, the security of scheme related attacks is discussed.

Key words: quantum optics, quantum secret sharing scheme, mutually unbiased basis, threshold scheme

BAI Hai-yan，LI Zhi-hui，HAO Na. Secret sharing scheme based on even-dimensional single-quantum system[J]. Chinese Journal of Quantum Electronics.

References

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