两态和三态多体纯态的度量和分类  

Classification and quantification of qubit and qutrit multipartite pure state entanglement

作　　者：鲁国英[1] 潘峰[1] 

机构地区：[1]辽宁师范大学物理系

出　　处：《物理学报》2007年第4期1895-1905,共11页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10175031);辽宁省自然科学基金(批准号:2001101053);美国路易斯安那州立大学与辽宁师范大学国际合作研究计划(批准号:C192135)资助的课题.~~

摘　　要：基于多体纯态纠缠的度量方法,研究了两态两体和三体以及三态两体纯态纠缠的分类和度量.结果表明,在随机局域操作与经典通信(SLOCC)等价的意义下,纯态的纠缠方式可用所定义纠缠度的不同极大值来表征.通过仔细的计算和分析发现,两态三体和三态两体纯态各有三种SLOCC不等价的基本纠缠方式.最后将三态两体纯态纠缠度的计算与新近提出的熵积纠缠度方案进行了比较,并进行了讨论.Classification and quantification of bipartite qubit, tripartite qubit, and bipartite qutrit entanglement are studied in detail based on the entanglement measure of multipartite pure states. The results show that different ways of pure state entanglement can be characterized by extremal values of the corresponding entanglement measure under the stochastic local operation and classical communication（SLOCC）. Detailed analysis shows that there are three different kinds of entanglement under the SLOCC in both tripartite qubit and bipartite qutrit pure state systems. Comparison of the measure with the recently proposed entropy-product measure is made and briefly discussed.

关 键 词：纯态纠缠 极值纠缠 随机局域操作和经典通信 

分 类 号：O413[理学—理论物理]