基于多模压缩系数对非对称EPR态的纠缠结构判定  

Characterizing Entanglement Structure of Asymmetric EPR States Based on Multimode Squeezing Coefficients

作　　者：任志红 贾志琴 杨国晖[1] REN Zhihong;JIA Zhiqin;YANG Guohui(College of Physics and Information Engineering,Shanxi Normal University,Taiyuan 030031,Shanxi,China)

机构地区：[1]山西师范大学物理与信息工程学院,山西太原030031

出　　处：《山西师范大学学报（自然科学版）》2023年第3期64-68,共5页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12205176);山西省基础研究计划(自由探索类)青年科学研究项目(202103021223251).

摘　　要：多体连续变量纠缠态是量子信息中非常重要的核心资源.非对称EPR态是实验上可以产生的一类重要的多体连续变量纠缠态.我们利用多模压缩系数发展的判据微观地对四模非对称EPR态的纠缠结构进行了判定.研究表明压缩参数r取0到1时,四模非对称EPR态所有划分方式的子系统间都存在纠缠,且纠缠程度随着压缩参数r增大而增大.同时,对A,B模式上分别增加信道损耗时,发现四模非对称EPR态所有划分方式的子系统间的纠缠程度会减弱,但是依然存在纠缠.Multipartite continuous-variables entanglement states are very important core resources in quan-tum information.Asymmetric EPR states are an important class of multipartite continuous-variables entanglement states which can be generated experimentally.We use the criterion developed by multimode squeezing coeffi-cients to microscopically detect the entanglement structure of a four-mode asymmetric EPR state.The results show that entanglement exists among all sub systems of the four-mode asymmetric EPR state when the squeeze pa-rameter r is from 0 to 1,and the entanglement degree increases with the increase of the squeeze parameter r.At the same time,when the channel loss is increased on different modes,it is found that the degree of entanglement between the subsystems of all partitions of the four-mode asymmetric EPR state will be reduced,but entanglement still exists.

关 键 词：Fisher信息 多模压缩系数 非对称EPR态 纠缠 

分 类 号：O43[机械工程—光学工程]