Entanglement of linear cluster states in terms of averaged entropies  

作　　者：CAO Ye LI Hui LONG GuiLu 

机构地区：[1]State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics,Tsinghua University [2]Tsinghua National Laboratory for Information Science and Technology,Tsinghua University

出　　处：《Chinese Science Bulletin》2013年第1期48-52,共5页

基　　金：supported by the National Natural Science Foundation of China (10874 098,11175094);the National Basic Research Program of China (2009CB929402,2011CB9216002)

摘　　要：An entanglement measure,multiple entropy measures(MEMS) was proposed recently by using the geometric mean of partial entropies over all possible i-body combinations of the quantum system.In this work,we study the average subsystem von Neumann entropies of the linear cluster state and investigated the quantum entanglement of linear cluster states in terms of MEMS.Explicit results with specific particle numbers are calculated,and some analytical results are given for systems with arbitrary particle numbers.Compared with other example quantum states such as the GHZ states and W states,the linear cluster states are "more entangled" in terms of MEMS,namely their averaged entropies are larger than the GHZ states and W states.An entanglement measure, multiple entropy measures （MEMS） was proposed recently by using the geometric mean of partial entropies over all possible/-body combinations of the quantum system. In this work, we study the average subsystem yon Neumann entropies of the linear cluster state and investigated the quantum entanglement of linear cluster states in terms of MEMS. Explicit results with specific particle numbers are calculated, and some analytical results are given for systems with arbitrary particle numbers. Compared with other example quantum states such as the GHZ states and W states, the linear cluster states are ＂more entangled＂ in terms of MEMS, namely their averaged entropies are larger than the GHZ states and W states.

关 键 词：量子纠缠 平均熵 状态 集群 线性 量子系统 MEMS GHZ态 

分 类 号：O431.2[机械工程—光学工程]