一种新型的可改进的量子秘密共享方案

doi:10.6040/j.issn.1671-9352.2.2016.026

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (3): 8-15.doi: 10.6040/j.issn.1671-9352.2.2016.026

一种新型的可改进的量子秘密共享方案

徐廷廷,李志慧^*,麻敏

陕西师范大学数学与信息科学学院, 陕西西安 710119

收稿日期:2016-08-16 出版日期:2017-03-20 发布日期:2017-03-20
通讯作者: 李志慧(1966— ),女,教授,博士生导师,研究方向为密码学. E-mail:lizhihui@snnu.edu.cn E-mail:378396847@qq.com
作者简介:徐廷廷(1990— ), 女, 硕士研究生,研究方向为密码学. E-mail:378396847@qq.com
基金资助:
国家自然科学基金资助项目(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资助(GK201603087)

A new improvable quantum secret sharing scheme

XU Ting-ting, LI Zhi-hui^*, MA Min

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

Received:2016-08-16 Online:2017-03-20 Published:2017-03-20

摘要/Abstract

摘要： 一种新型的可改进的量子秘密共享方案是在A.C.A.Nascimento等人提出的一种改进的量子秘密共享方案(简称IQSS方案)的基础上提出的,新方案较IQSS方案可实现更多的量子存取结构。进一步地,在理论上证明了所有的超星量子存取结构均可由这一新型的量子秘密共享方案实现。作为应用,给出了参与者人数至多为4的所有最优限制量子存取结构共10个,其中9个可以用新方案实现。

关键词: 量子存取结构, 最优限制, 量子秘密共享, 超星

Abstract: A new improvable quantum secret sharing scheme which is based on an improvable quantum secret sharing scheme(IQSS scheme)proposed by A.C.A.Nascimento et al. is proposed and it can realize more quantum access structures compared with the IQSS scheme. Furthermore, we prove that all hyperstar quantum access structures can be realized by our scheme in theory. As an application, a total of ten optimal restriction quantum access structures are given for the number of participants at up to 4, and it is proved that 9 of them can be realized by using the new scheme.

Key words: hyperstar, optimal restriction, quantum access structure, quantum secret sharing

中图分类号:

TP309

徐廷廷,李志慧,麻敏. 一种新型的可改进的量子秘密共享方案[J]. 山东大学学报（理学版）, 2017, 52(3): 8-15.

XU Ting-ting, LI Zhi-hui, MA Min. A new improvable quantum secret sharing scheme[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(3): 8-15.

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一种新型的可改进的量子秘密共享方案

A new improvable quantum secret sharing scheme

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