级联环境中两比特纠缠态的量子非局域关联检验研究  

Research on Quantum Nonlocal Correlation Testing of Qubit Entangled States in Hierarchical Environment

作　　者：辜鹏宇 曾柏云 蒋世民 樊代和[1] GU Peng-yu;ZENG Bai-yun;JIANG Shi-min;FAN Dai-he(School of Physical Science and Technology,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学物理科学与技术学院,四川成都610031

出　　处：《量子光学学报》2023年第3期1-7,共7页Journal of Quantum Optics

基　　金：国家自然科学基金(62175135);山西省基础研究计划资助项目(202103021224025)。

摘　　要：量子纠缠态经级联环境中演化的量子非局域关联检验研究具有重要的现实意义。基于Hardy-type佯谬检验方案,本文分别以两比特量子纯态和混合态为研究对象,研究了其在级联环境中演化后的量子非局域关联检验情况。分析了纠缠态和腔的耦合强度、腔和库的耦合强度比值κ/γ以及马尔科夫环境和非马尔科夫环境对量子非局域关联检验的影响情况。结果表明,在马尔科夫环境中,且κ/γ越小,成功进行量子非局域关联检验的演化时间越长。进一步给出了量子混合态能够成功进行量子非局域关联检验的混合度参数m的范围,并给出了量子混合态经级联环境演化后,可成功进行量子非局域关联检验的演化时间范围。Quantum nonlocal correlation is one of the most important characteristics to distinguish quantum mechanics from classical mechanics.Since it shows that two or more entangled particles will have a correlation with each other no matter how far apart they are.Quantum nonlocal correlation is the basis of quantum information technology such as quantum computing,quantum teleportation and quantum key distribution,so it is of great application significance to test the quantum nonlocal correlation in the hierarchical environment.The Hardy-type paradox is an equation-free scheme for quantum nonlocal correlation testing,because the logic is no need for complex measurement in the experiment.Based on the Hardy-type paradox testing scheme,this paper studies the quantum nonlocal correlation testing of qubit quantum pure state and mixed state in hierarchical environment.Firstly,the physical model of qubit in a hierarchical environment is given,and the evolution of the density matrix of the quantum states in the hierarchical environment is deduced.A highly successful probability testing scheme based on the Hardy-type paradox for arbitrary quantum states is presented.Secondly,taking the qubit pure state as the object,the quantum nonlocal correlation testing is studied,when the ratio of κ/γ(i.e.the ratio of coupling strength between the quantum pure state and the cavity,and the coupling strength between the cavity and reservoir) is different.At the same time.Also,the influence of the quantum pure state on the quantum nonlocal correlation testing in the evolution of Markovian and non-Markovian environments is given.The results show that with the increase of κ/γ,the evolution time of a successful nonlocal correlation test decreases.In addition,compared with the non-Markovian environment,the evolution of quantum states in the Markovian hierarchical environment is more conducive to maintaining the nonlocal correlation characteristics of quantum states.Finally,taking a hidden nonlocal quantum mixed state as the research object,the i

关 键 词：量子非局域关联检验 级联环境 Hardy-type佯谬 量子纯态 量子混合态 

分 类 号：O431[机械工程—光学工程]