Bell态隐形传输中的冯·诺依曼熵研究  

Study on von Neumann Entropy in Teleportation of the Bell State

作　　者：李文靖 柏明强 刘芷仪[1,2,3] 肖钧匀 LI Wenjing;BAI Mingqiang;LIU Zhiyi;XIAO Junyun(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan;Institute of Intelligent Information and Quantum Information,Sichuan Normal University,Chengdu 610066,Sichuan;Research Center of Sichuan Normal University,National-Local Joint Engineering Laboratory of System Credibility Automatic Verification,Chengdu 610066,Sichuan)

机构地区：[1]四川师范大学数学科学学院,四川成都610066 [2]四川师范大学智能信息与量子信息研究所,四川成都610066 [3]系统可信性自动验证国家地方联合工程实验室四川师范大学研究中心,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2022年第3期306-313,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11671284);四川省科技计划项目(2020YFG0290)。

摘　　要：首先,运用冯·诺依曼熵计算隐形传输前纠缠态的纠缠度,分析其变化与纠缠态参数的关系;其次,运用冯·诺依曼熵计算隐形传输后所获塌缩态的纠缠度,表明纠缠度与所要传输的纠缠态参数和信道参数相关;最后,讨论当纠缠态为Bell态时,纠缠度变化与信道参数的关系.利用纠缠度刻画基于团簇态实现Bell态隐形传输前后纠缠的变化程度,由纠缠度和成功概率2个指标综合分析得出信道参数合理的选择范围.In this paper,firstly,we use von Neumann entropy to calculate the entanglement of entangled states before teleportation,and analyze the relationship between their changes and entangled state parameters.Secondly,the entanglement degree of the collapsed state obtained by the teleportation is calculated by using von Neumann entropy.It indicates that the entanglement degree is related to the entangled state parameters and channel parameters to be transmitted.Then we discuss the relationship between entanglement change and channel parameters when the entangled state is in the Bell state.The entanglement degree is used to describe the degree of entanglement before and after the stealth transmission of the Bell state based on the cluster state.Based on the comprehensive analysis of two indexes,the entanglement degree and the success probability,the reasonable selection range of channel parameters is obtained.

关 键 词：量子隐形传输 团簇态 冯·诺依曼熵 纠缠度 

分 类 号：O413[理学—理论物理]