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44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44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.