基于优超理论的纠缠纯态转化  

Entanglement Transformation of Pure States Via Theory of Majorization

作　　者：孙照龙 胡占宁[1] 孔令浩[1] 靳瑶瑶 

机构地区：[1]天津工业大学理学院,天津300387

出　　处：《重庆工商大学学报（自然科学版）》2016年第4期53-57,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学理论物理专项基金(11447153)

摘　　要：利用优超理论实现了高维量子系统中局域纠缠纯态的确定转化;在一个44维量子系统的低维子系统中两次利用优超理论,并通过正定算符值测量(Positive Operator Valued Measure,POVM)、算子测量、局域操作和经典通信(Local Operations and Classical Communication,LOCC),最终实现了44维量子系统中的纯态以100%的概率完成转化。通过计算和理论推导说明这种基于优超理论的纠缠纯态转化会降低量子子系统Von Neumann熵。This paper uses the Theory of Majorization to accomplish deterministic transformations of the entangled bipartite pure states in the high dimensional quantum systems. There is a detail process that a 4 4 dimension quantum system completes the deterministic transformations with a one hundred percent probability by the Theory of Majorization, local operation and classical communication （LOCC） and positive operator valued measure （POVM）. By the calculation and theoretical derivation, this entangled pure state deterministic transformations based on the Theory of Majorization can decrease the Von Neumann entropy of quantum subsystem.

关 键 词：纯态转化 优超理论 POVM Von Neumann熵 

分 类 号：O431[机械工程—光学工程]