在有限温度下运用弱测量保护量子纠缠  

Protecting quantum entanglement at finite temperature by the weak measurements

作　　者：王美姣[1] 夏云杰[1] 

机构地区：[1]曲阜师范大学物理工程学院,山东省激光偏光与信息技术重点实验室,曲阜273165

出　　处：《物理学报》2015年第24期42-49,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61178012;11204156;11304179;11247240);教育部博士点专项科研基金(批准号:20133705110001;20123705120002);山东省自然科学基金(批准号:BS2013DX034;ZR2012FQ024)资助的课题~~

摘　　要：根据单量子比特的映射,提出一个在有限温度下运用弱测量保护两量子比特纠缠的方案.在两个可通过局域幺正变化实现的等价的初始纠缠进入广义振幅阻尼信道前后,对其分别进行弱测量,并对四个弱测量的参数做全面的优化,获取最大共生纠缠r和弱测量参数,的解析表达式,然后再进一步研究弱测量参数与信道参数的关系.发现这种基于弱测量的纠缠保护方法在某些情况下可以有效地提高纠缠,甚至可以避免纠缠的突然死亡.当信道参数一定时,对不同的参数,初始态|ψ>纠缠达到最大值时对应的弱测量参数的取值一样,共生纠缠关于=0 5对称,而初始态|ψ>对应的参数的取值不同;在参数一定、参数不同、初始态|ψ>或|φ的情况下,当纠缠度取最大值时,弱测量参数的取值不变,且随着的增加,纠缠度减少.通过对信道参数的分析,发现可以选择合适的信道参数和初始态来获得较大的纠缠.According to the map of a qubit, a scheme for protecting entanglement of two-qubit by the weak measurement at finite temperature is proposed. Since the choices of the channel parameters and initial states are very different fo different weak measurement strengths, two local unitary equivalent initial entangled states ｜ψ and ｜φ are chosen. Weak measurements are performed when two initial entangled states go through the generalized amplitude damping channel and the analytical expressions of getting maximum concurrence entanglement rand weak measurement parameters and can be obtained by performing an overall optimization for four weak measurement parameters. What is more the relationship between the weak measurement parameters and the channel parameters is further explored. Theoretica results show the entanglement protection project based on weak measurements can effectively enhance the entanglemen and even prevent the sudden death of entanglement in some cases. When the channel parameter is fixed, for differen values of parameter, the concurrence is centered at = 0 5, and the weak measurement parameters of the maximum concurrence entanglement are the same as those for initial state ｜φ, while they are different for initial states ｜ψ｜φ. Unde the condition of different values of, for the fixed and initial states ｜ψ or ｜φ, the weak measurement parameters remain constant as the entanglement reaches the maximum and the concurrence decreases with the increase of parameter Through the analysis of channel parameters, higher entanglement can be obtained by choosing appropriate channe parameters and initial state.

关 键 词：消相干 共生纠缠 弱测量 

分 类 号：O413[理学—理论物理]