Markov环境下“X”态基于CHSH不等式的量子非局域关联检验  

Quantum nonlocality testing of the “X” state based on the CHSH inequality in Markov environment

作　　者：曾柏云 辜鹏宇 蒋世民 贾欣燕 樊代和[1] Zeng Bai-Yun;Gu Peng-Yu;Jiang Shi-Min;Jia Xin-Yan;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,成都610031

出　　处：《物理学报》2023年第5期1-9,共9页Acta Physica Sinica

基　　金：计算物理国防科技重点实验室(批准号:6142A05180401);国家自然科学基金(批准号:12147208)资助的课题。

摘　　要：量子非局域关联是量子理论最基础的特征之一.“X”态作为实验中常见的一种量子态,因其在演化过程中仍保持“X”形的稳定性,而被广泛应用于开放量子系统的研究中.利用Clauser-Horne-Shimony-Holt (CHSH)不等式,在Markov环境这种典型的开放量子系统下,研究了两种通过局部变换操作所关联的“X”态在振幅阻尼环境和相位阻尼环境中量子非局域检验结果随时间的演化情况.研究结果表明,在相位阻尼环境中,随着演化时间的增加,两种“X”态具有相同的CHSH不等式检验结果.在振幅阻尼环境中,利用局部变换操作得到的“X”态,可获得较长的成功进行量子非局域关联检验的演化时间.最后,详细给出了两种类型“X”态在相位阻尼环境和振幅阻尼环境中成功进行量子非局域关联检验的保真度范围.Quantum nonlocality is one of the most fundamental characteristics of quantum theory.As a commonly used quantum state generated in experiment,the "X" state is a typical one in the research of open quantum systems,since it remains the stability of the "X" shape during the evolution.Using the Clauser-HorneHarmony-Holt(CHSH) inequality,the quantum nonlocality testing of two "X" states associated with local transformation operations is studied under the Markov environment.The results show that in the phase damping environment,the two "X" states have the same CHSH inequality testing results with the increase of the evolution time.Moreover,the maximum of quantum nonlocality test of the two "X" states will decrease nonlinearly.When 0.78m of testing quantum nonlocality will gradually transition from Sm> 2 to Sm<2 with the increase of the evolution time of the two "X" states,and the research on the quantum nonlocality test cannot be successfully carried out.In the amplitude damping environment,the "X" state obtained by the local transformation operation has a longer evolution time for successfully testing quantum nonlocality when F> 0.78.In particular,when F=1,the "X" state with the density matrix ρwcannot successfully test the quantum nonlocality after the evolution time Γt> 0.22.For the "X" state with density matrix pw,the quantum nonlocality testing cannot be performed until the evolution time Γt> 0.26.These results show that the local transformation operation of the "X" state is more conducive to the quantum nonlocality testing based on the CHSH inequality.Finally,the fidelity ranges of successfully testing the quantum nonlocality of the two "X" states in phase and amplitude damping environments are given in detail.The results show that on the premise of the successful testing of quantum nonlocality,the two types of "X" states evolving in the phase damping environment have a large range of valid fidelity.Meanwhile,for the same evolution time,the local transformation operation is helpful in improving the fidelity ra

关 键 词：量子非局域关联 “X”态 CHSH不等式 相位阻尼 振幅阻尼 

分 类 号：O413[理学—理论物理]