物理学报2024，Vol.73Issue(16)：1-9,9.DOI:10.7498/aps.73.20240450
非马尔科夫环境中Werner态的量子非局域关联检验研究
Quantum non-local correlation testing of Werner state in non-Markovian environment
摘要
Abstract
Research on whether quantum states retain quantum non-local correlation properties after evolving in non-Markovian environments has significant applications in the field of quantum information.In this work,we investigate the density matrix of quantum states evolving with time in various non-Markovian environments.Specifically,we examine two types of non-Markovian phase damping environments,namely random telegraph(RT)noise environment and Ornstein-Uhlenbeck(OU)noise environment,and non-Markovian amplitude damping(AD)environment.By utilizing the Clauser-Horne-Shimony-Holt(CHSH)inequality,a quantum non-local correlation testing of the Werner state after its evolution in these non-Markovian environments is conducted.The results show significant differences in the quantum non-local correlation testing results of the Werner state after evolving in different non-Markovian environments.Notably,the Werner state displays information backflow in the RT noise environment and the AD environment,resulting in periodic oscillations in its quantum non-local correlation testing.This suggests that under certain conditions,the quantum state can transition from a state without quantum non-local correlation back to a state with such a correlation as evolution time progresses.The results also show that the Werner state exhibits the information about backflow phenomena in RT noise environment and AD environment,leading to periodic oscillations in its quantum non-local correlation testing.Furthermore,these periods are inversely proportional to certain parameters,such as√(2γ/a)2-1 and √2Γ/γ-(Γ/γ)2.On the contrary,in the OU noise environment,no information about backflow is obtained,thereby leading the value of the quantum non-local correlation test to increase with evolution time increasing.In most of AD and OU noise environments,there exists a specific maximum evolution time γtmax in which successful quantum non-local correlation testing can be conducted.This maximum evolution time γtmax shows a nonlinear variation with fidelity increasing and an inverse variation with Γ/γparameter increasing.In comparison,the maximum evolution time for successful quantum non-local correlation testing in the OU noise environment exceeds that in the AD environment under the same conditions,indicating that the AD environment exerts a more pronounced weakening effect on the quantum non-local correlation properties of the Werner state.关键词
量子非局域关联/Werner态/非马尔科夫环境/CHSH不等式/相位阻尼/振幅阻尼Key words
quantum non-local correlation/Werner state/non-Markovian environment/Clauser-Horne-Shimony-Holt inequality/phase damping/amplitude damping引用本文复制引用
蒋世民,贾欣燕,樊代和..非马尔科夫环境中Werner态的量子非局域关联检验研究[J].物理学报,2024,73(16):1-9,9.基金项目
国家自然科学基金(批准号:62374139)和计算物理国防科技重点实验室项目(批准号:6142A05180401)资助的课题. Project supported by the National Natural Science Foundation of China(Grant No.62374139)and the Key Laboratory Project of Computational Physics of National Defense Science and Technology of China(Grant No.6142A05180401). （批准号:62374139）
