基于局域区分的六粒子正交纠缠态的量子秘密共享方案

doi:10.3969/j.issn.1671-1122.2018.04.008

信息网络安全 ›› 2018, Vol. 18 ›› Issue (4): 56-64.doi: 10.3969/j.issn.1671-1122.2018.04.008

基于局域区分的六粒子正交纠缠态的量子秘密共享方案

刘成基, 李志慧(), 司萌萌, 白晨明

陕西师范大学数学与信息科学学院,陕西西安710119

收稿日期:2017-11-15 出版日期:2018-04-15 发布日期:2020-05-11
作者简介:
作者简介：刘成基（1993—）,男,河南,硕士研究生,主要研究方向为有限域和密码学;李志慧（1966—）,女,陕西,教授,博士,主要研究方向为有限域和密码学;司萌萌(1994—),女,陕西,硕士研究生,主要研究方向为有限域和密码学;白晨明（1990—）,男,河北,博士研究生,主要研究方向为有限域和密码学。
基金资助:
国家自然科学基金[61373150,61602291];陕西省科学技术研究发展计划工业攻关项目[2013K0611];中央高校基本科研业务费专项资金[GK201603087]

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

Chengji LIU, Zhihui LI(), Mengmeng SI, Chenming BAI

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an Shaanxi 710119, China

Received:2017-11-15 Online:2018-04-15 Published:2020-05-11

摘要/Abstract

摘要：

量子秘密共享根据分享信息的形式,可分为对量子态的秘密共享和对经典信息的秘密共享。在一个完善的（k,n）门限量子秘密共享方案中,少于k个参与者合作不能得到关于秘密的任何信息。在（k,n）门限量子秘密共享方案中存在两种窃听攻击：无歧义攻击和猜测攻击。WANG等人提出了判断空间的概念,并利用这一概念研究基于局域区分的可抵抗无歧义攻击的量子纠缠态。文章在置换意义下构造了11种六粒子量子纠缠态,计算了其判断空间,并提出了判断空间的区分规则。基于这种区分规则,研究了这11种六粒子量子纠缠态的局域可区分性,进而提出了一个可抵抗无歧义攻击的（k,n）门限量子秘密共享方案并给出了一个（5,6）门限作为例证。最后讨论了方案的安全性。

关键词: 门限方案, 局域区分, 判断空间, 量子秘密共享

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

中图分类号:

TP309

刘成基, 李志慧, 司萌萌, 白晨明. 基于局域区分的六粒子正交纠缠态的量子秘密共享方案[J]. 信息网络安全, 2018, 18(4): 56-64.

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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基于局域区分的六粒子正交纠缠态的量子秘密共享方案

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

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