基于GHZ态局域测量的量子秘密共享

doi:10.3969/j.issn.0372-2112.2019.07.007

电子学报 ›› 2019, Vol. 47 ›› Issue (7): 1443-1448.DOI: 10.3969/j.issn.0372-2112.2019.07.007

基于GHZ态局域测量的量子秘密共享

宋云

陕西师范大学计算机科学学院, 陕西西安 710062

收稿日期:2017-03-05 修回日期:2018-12-28 出版日期:2019-07-25
- 作者简介:
- 宋云女,1987年生于陕西西安.现为陕西师范大学计算机科学学院讲师、硕士生导师.研究方向为有限域、密码学.E-mail:songyun09@snnu.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61602291，No.11671244，No.61802241）; 中国博士后科学基金 (No.2018M633456）; 国家留学基金 (No.201806875032）; 陕西省自然科学基础研究计划 (No.2019JQ-472）

Quantum Secret Sharing Based on GHZ States Local Measurements

SONG Yun

School of Computer Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China

Received:2017-03-05 Revised:2018-12-28 Online:2019-07-25 Published:2019-07-25

摘要/Abstract

摘要： 提出了一个基于GHZ态局域测量的新颖且高效的量子秘密共享方案.该方案充分利用了GHZ态3个粒子间的相关性，不需要进行任何酉操作或纠缠交换，只通过局域测量，就可在通信者之间建立共享联合密钥.除去用于窃听检测的粒子，其余粒子全部用于消息传输，每个GHZ态可以共享一个比特经典消息，效率达到100%.同时，对于可能存在的攻击方式，文中给出了详细的安全性证明.最后，建立了效率与安全的关系模型，并用MATLAB进行了比较深入的仿真分析.

关键词: 量子秘密共享, Greenberger-Horne-Zeilinger态, 局域测量, 安全性分析

Abstract: This paper proposes a novel quantum secret sharing(QSS)scheme based on quantum correlations among three particles in a GHZ state.Without any unitary operation or entanglement swapping,receivers can obtain the joint key by using local measurements of photons.Except a few particles which is used to check the security of quantum channel,every GHZ state can be used to share 1 bit of information.The total efficiency of the scheme approaches 100%.Taking all possible attacks into account,the security proofs are detailed.We finally establish a mathematical model about the efficiency and security of the scheme and perform simulation analyses with different parameters using MATLAB.

Key words: quantum secret sharing, Greenberger-Horne-Zeilinger state, local measurements, security analysis

中图分类号:

TP309

宋云. 基于GHZ态局域测量的量子秘密共享[J]. 电子学报, 2019, 47(7): 1443-1448.

SONG Yun. Quantum Secret Sharing Based on GHZ States Local Measurements[J]. Acta Electronica Sinica, 2019, 47(7): 1443-1448.

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基于GHZ态局域测量的量子秘密共享

Quantum Secret Sharing Based on GHZ States Local Measurements

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