记忆泡利信道下Bell态的几何失协  

Geometric Discord of Bell States in Memory Pauli Channels

作　　者：熊思婷 柏明强 杨振[1,2,3] XIONG Siting;BAI Mingqiang;YANG Zhen(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和量子信息研究所,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）》2024年第4期548-554,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省自然科学基金(2022NSFSC0534);中央引导地方科技发展资金项目(22ZYZYTS0064)。

摘　　要：几何失协是度量量子关联的一种重要方法.通过引入记忆参数,使得泡利噪声具有记忆性,此时噪声被定义为记忆泡利噪声.依据不同记忆泡利信道的噪声参数,讨论xz退相位噪声、去极化噪声、双泡利噪声以及3种翻转噪声下Bell态的几何失协,得到Bell态的几何失协与噪声参数之间的关系,并且分析记忆参数对几何失协的影响.结果表明,在记忆泡利信道下Bell态的几何失协受到噪声影响的程度更小,即记忆泡利信道可有效增强噪声影响下Bell态几何失协的稳定性.这表明记忆泡利信道可以捕获更多的信息,有利于节约量子资源.Geometric discord is an important method to measure quantum correlations.By introducing memory parameter,the Pauli noise is memorized,and then the noise is defined as memory Pauli noise.According to the different noise parameters of memory Pauli channels,geometric discord of Bell states under xz dephasing noise,depolarizing noise,two-Pauli noise and three kinds of flip noises are discussed.The relationship between geometric discord of Bell states and the noise parameters is obtained,and the influence of the memory parameter on geometric discord is analyzed.The results show that geometric discord of Bell states under the influence of noise is less in the memory Pauli channels,that is,the memory Pauli channels can effectively enhance the stability of geometric discord of Bell states under the influence of noise.This indicates that the memory Pauli channels can capture more information,which is conducive to saving quantum resources.

关 键 词：几何失协 记忆泡利信道 BELL态 

分 类 号：O431[机械工程—光学工程]