Entanglement for a two-parameter class of states in a high-dimension bipartite quantum system  

作　　者：DI YaoMin LIU SiPing LIU DongDong 

机构地区：[1]School of Physics&Electronic Engineering,Xuzhou Normal University,Xuzhou 221116,China [2]Department of Physics&Electronic Information Technology,Xiangfan Institute,Xiangfan 441053,China [3]School of Mathematics&Physics Science,Xuzhou Institute of Technology,Xuzhou 221008,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2010年第10期1868-1872,共5页中国科学:物理学、力学、天文学(英文版)

基　　金：supported by the Project of Natural Science Foundation of Jiangsu Education Bureau,China (Grant No. 09KJB140010);the Project Prepared for National Natural Science Foundation of Xuzhou Normal University (Grant No. 08XLY03);the Science and Technology Foundation of Hubei Educational Bureau,China (Grant No. Q20082503);the Natural Science Foundation of Xuzhou Institute of Technology, China (Grand No. XKY2008210)

摘　　要：The entanglement for a two-parameter class of states in a high-dimension (m n,n≥m≥3) bipartite quantum system is discussed.The negativity (N) and the relative entropy of entanglement (Er) are calculated,and the analytic expressions are obtained.Finally the relation between the negativity and the relative entropy of entanglement is discussed.The result demonstrates that all PPT states of the two-parameter class of states are separable,and all entangled states are NPT states.Different from the 2 ? n quantum system,the negativity for a two-parameter class of states in high dimension is not always greater than or equal to the relative entropy of entanglement.The more general relation expression is mN/2≥Er.The entanglement for a two-parameter class of states in a high-dimension (m n,n≥m≥3) bipartite quantum system is discussed.The negativity (N) and the relative entropy of entanglement (Er) are calculated,and the analytic expressions are obtained.Finally the relation between the negativity and the relative entropy of entanglement is discussed.The result demonstrates that all PPT states of the two-parameter class of states are separable,and all entangled states are NPT states.Different from the 2 ? n quantum system,the negativity for a two-parameter class of states in high dimension is not always greater than or equal to the relative entropy of entanglement.The more general relation expression is mN/2≥Er.

关 键 词：two-parameter class of states NEGATIVITY relative entropy of entanglement 

分 类 号：O413.1[理学—理论物理]