基于 Bell 态的量子安全多方求和

doi:10.3969/j.issn.1007-5461.2021.06.011

量子电子学报 ›› 2021, Vol. 38 ›› Issue (6): 830-837.doi: 10.3969/j.issn.1007-5461.2021.06.011

基于 Bell 态的量子安全多方求和

常泓1 , 吴怡婷1 , 林崧2,3∗

1 福建师范大学数学与信息学院, 福建福州 350007; 2 福建师范大学数字福建大数据安全技术研究所, 福建福州 350007; 3 福建师范大学数字福建环境监测物联网实验室, 福建福州 350007

收稿日期:2020-07-15 修回日期:2020-09-02 出版日期:2021-11-28 发布日期:2021-11-28
通讯作者: E-mail: lins95@fjnu.edu.cn E-mail:E-mail: lins95@fjnu.edu.cn
作者简介:常泓 ( 1995 - ), 女, 河南人, 研究生, 主要从事量子密码方面的研究。 E-mail: 1308473708@qq.com
基金资助:
Supported by National Natural Science Foundation of China (国家自然科学基金, 61772134, 61976053), Program for New Century Excellent Talents in Fujian Province University (福建省高等学校新世纪优秀人才支持计划), Natural Science Foundation of Fujian Province of China (福建省自然科学基金, 2018J01776)

Quantum secure multiparty summation based on Bell states

CHANG Hong 1 , WU Yiting 1 , LIN Song 2,3∗

1 College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350007, China; 2 Digital Fujian Big Data Security Technology Institute, Fujian Normal University, Fuzhou 350007, China; 3 Digital Fujian Environmental Monitoring Internet of Things Laboratory, Fujian Normal University, Fuzhou 350007, China

Received:2020-07-15 Revised:2020-09-02 Published:2021-11-28 Online:2021-11-28

摘要/Abstract

摘要： 利用纠缠交换中结果态和初始态之间存在的关系, 提出一个基于 Bell 态的高效量子安全多方求和协议。该协议中, 一个半可信第三方负责制备 Bell 态作为信号载体, 并将这些载体粒子分发给参与者。随后, 参与者根据其私密数据选择相应的局域幺正算子, 对载体粒子进行编码操作。最后, 参与者对其手中的粒子进行 Bell 基测量, 半可信第三方就可以利用粒子初态和测量结果计算出求和结果。对协议中常见的外部和内部攻击的安全性分析表明所提协议在理论上是安全的。

关键词: 量子信息, 量子密码, 安全多方求和, Bell态, 纠缠交换

Abstract: Through the entanglement swapping between Bell states, the relationship between the resulting state and the initial state is illustrated and utilized to design an efficient quantum secure multiparty summation protocol. In the proposed protocol, a semi-trusted third party is introduced to generate Bell states and distribute them among participants. Then according to his private data, each participant performs the corresponding encoding operations on the Bell states. Finally, all participants make Bell states measurements on the particles in their hands and achieve entanglement swapping, and the third party can calculate the summation of the private inputs based on the measurement results and the initial states. The security analysis shows that the proposed protocol is secure against external and internal attacks in theory.

Key words: quantum information, quantum cryptography, secure multiparty summation, Bell state; entanglement swapping

中图分类号:

TP319

常泓吴怡婷林崧. 基于 Bell 态的量子安全多方求和[J]. 量子电子学报, 2021, 38(6): 830-837.

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基于 Bell 态的量子安全多方求和

Quantum secure multiparty summation based on Bell states

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