基于GHZ态局域测量的量子秘密共享  

Quantum Secret Sharing Based on GHZ States Local Measurements

作　　者：宋云[1] SONG Yun(School of Computer Science,Shaanxi Normal University,Xi’an ,Shaanxi 710062,China)

机构地区：[1]陕西师范大学计算机科学学院

出　　处：《电子学报》2019年第7期1443-1448,共6页Acta Electronica Sinica

基　　金：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)

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.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.

关 键 词：量子秘密共享 Greenberger-Horne-Zeilinger态 局域测量 安全性分析 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]