Quantum-Secret-Sharing Scheme Based on Local Distinguishability of Orthogonal Seven-Qudit Entangled States

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 p...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 57; no. 2; pp. 428 - 442
Main Authors Liu, Cheng-Ji, Li, Zhi-Hui, Bai, Chen-Ming, Si, Meng-Meng
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2018
Springer Nature B.V
Subjects
Elementary Particles
Entangled states
Mathematical and Computational Physics
Permutations
Physics
Physics and Astronomy
Quantum cryptography
Quantum Field Theory
Quantum Physics
Theoretical
Judgment space
Local distinguishability
Quantum secret sharing
Entangled state
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Summary: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.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-017-3574-5