Quantum-secret-sharing Scheme Based on Local Distinguishability of Orthogonal Six-qudit Entangled States

doi:10.3969/j.issn.1671-1122.2018.04.008

Abstract

Abstract:

Quantum secret sharing can be divided into the secret sharing of quantum states and the secret sharing of classical information according to the form of sharing information. In a perfect (k,n) threshold quantum secret sharing scheme, less than k participants can not get any information about the secret. There are two kinds of eavesdropping attacks in the (k,n) threshold quantum secret sharing scheme: unambiguous attack and guessing attack. Wang et al. propose the concept of judgment space and use this concept to study quantum entangled states that can be used to resist unambiguous attack based on local distinguishability. In this paper, we construct 11 kinds of six-qudit quantum entangled states in the sense of permutation, calculate their judgment space, and propose the rule of distinguishability of judgment space. Based on this rule, we study the local distinguishability of the 11 kinds of six-qudit quantum entangled states, propose a (k,n) threshold quantum secret sharing scheme that can resist unambiguous attack and give a (5,6) threshold quantum secret sharing scheme for illustration. Finally, we discuss the security of the scheme.

Key words: threshold scheme, local distinguishability, judgment space, quantum secret sharing

CLC Number:

TP309

Chengji LIU, Zhihui LI, Mengmeng SI, Chenming BAI. Quantum-secret-sharing Scheme Based on Local Distinguishability of Orthogonal Six-qudit Entangled States[J]. Netinfo Security, 2018, 18(4): 56-64.

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