Quantum-Secret-Sharing Scheme Based on Local Distinguishability of Orthogonal Seven-Qudit Entangled States
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The concept of judgment space was proposed by Wang et al. (Phys. Rev. A 95, 022320, 2017), which was used to study some important properties of quantum entangled states based on local distinguishability. In this study, we construct 15 kinds of seven-qudit quantum entangled states in the sense of permutation, calculate their judgment space and propose a distinguishability rule to make the judgment space more clearly. Based on this rule, we study the local distinguishability of the 15 kinds of seven-qudit quantum entangled states and then propose a (k, n) threshold quantum secret sharing scheme. Finally, we analyze the security of the scheme.
KeywordsQuantum secret sharing Local distinguishability Judgment space Entangled state
This work was sponsored by the National Natural Science Foundation of China under Grant No.61373150 and No.61602291, Industrial Research and Development Project of Science and Technology of Shaanxi Province under Grant No.2013k0611, and supported by “the Fundamental Research Funds for the Central Universities” under Grant No.GK201603087.
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