基于高维Bell态的量子秘密共享协议  

Quantum Secret Sharing Protocol Based on High Dimensional Bell State

作　　者：崔启越 孙莹[1] 刘冰[1] CUI Qiyue;SUN Ying;LIU Bing(Beijing Electronic Science and Technology Institute,Beijing 100070,P.R.China)

机构地区：[1]北京电子科技学院,北京市100070

出　　处：《北京电子科技学院学报》2022年第3期30-40,共11页Journal of Beijing Electronic Science And Technology Institute

基　　金：2020年教育部新工科项目“新工科背景下数学课程群的教学改革与实践”;北京电子科技学院一流学科建设项目(项目编号:1201011);量子安全服务平台移动应用基础环境项目(项目编号:SITEN-ZB-20210348)。

摘　　要：秘密共享作为信息安全方向的一个重要分支,在信息保护与密钥管理等方面发挥着重要作用。随着量子纠缠理论的发展,逐渐涌现出了许多基于Bell态特性提出的量子秘密共享协议。为了提高信息的传输效率,本文研究了高维Bell态在秘密共享协议中的应用,提出一种全新的量子秘密共享协议,通过幺正操作的特殊性质对高维Bell态进行转换,将明文信息编入高维Bell态并安全传输,从而实现了平均一个Bell态安全共享logd~2bits二进制信息的目的。与利用双量子比特Bell态的协议相比,该方案具有良好的安全性和较高的信息传输效率。As an important branch of information security,secret sharing plays an important role in information protection and key management.With the development of quantum entanglement theory,many quantum secret sharing protocols based on Bell state properties gradually emerge.In this paper,application of high-dimensional Bell states in secret sharing protocols is studied,and a novel quantum secret sharing protocol is proposed to improve the efficiency of information transmission.Some special properties of the unitary operation are utilized for converting the high-dimensional Bell state,and information is programmed into the high-dimensional Bell state and transmitted securely,to achieve the purpose of safely sharing logd~2 bits binary information in one Bell state averagely.Compared with the protocols utilizing the two-qubit Bell state,the proposed scheme prove to have the features of good security and high information transmission efficiency.

关 键 词：高维Bell态 幺正操作 诱骗光子 秘密共享 

分 类 号：TN918[电子电信—通信与信息系统]