A sufficient and necessary criterion for separability of bipartite quantum states

被引：0
|
作者：
赵慧 [1 ]
于欣玉 [1 ]
机构：
[1] College of Applied Science, Beijing University of Technology
来源：
Chinese Physics B | 2014年 / 23卷 / 08期
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
positive partial transposition; separability;
D O I：
暂无
中图分类号：
O413 [量子论];
学科分类号：
摘要：
A sufficient and necessary criterion for separability of bipartite quantum states is presented. We construct a class of mixed states in 2 ? k quantum systems and in 3 ? k quantum systems, respectively and show that these states are separable if and only if they are positive partial transpositions.
引用
收藏
页码：256 / 259
页数：4
相关论文
共 50 条
  • [41] AN EFFICIENT SEPARABILITY CRITERION FOR n-PARTITE ARBITRARILY DIMENSIONAL QUANTUM STATES
    Long, Yinxiang
    Qiu, Daowen
    Long, Dongyang
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2011, 9 (04) : 1101 - 1112
  • [42] A NECESSARY AND SUFFICIENT EIGENVECTOR CONDITION FOR A CONNECTED GRAPH TO BE BIPARTITE
    Cioaba, Sebastian M.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 351 - 353
  • [43] Some necessary and sufficient conditions for Hypercyclicity Criterion
    B. Yousefi
    H. Rezaei
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2005, 115 : 209 - 216
  • [44] Separability and distillability of bipartite Gaussian states - the complete story
    Giedke, G
    Kraus, B
    Duan, LM
    Zoller, P
    Cirac, JI
    Lewenstein, M
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2001, 49 (10-11): : 973 - 980
  • [45] ON NECESSARY AND SUFFICIENT CONDITIONS FOR THE COOK-CRITERION
    DEMUTH, M
    MATHEMATISCHE NACHRICHTEN, 1983, 113 : 171 - 185
  • [46] Necessary and sufficient conditions for local manipulation of multipartite pure quantum states
    Gour, Gilad
    Wallach, Nolan R.
    NEW JOURNAL OF PHYSICS, 2011, 13
  • [47] Some necessary and sufficient conditions for hypercyclicity criterion
    Yousefi, B
    Rezaei, H
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2005, 115 (02): : 209 - 216
  • [48] INTERNAL STATES - NECESSARY BUT NOT SUFFICIENT
    MACHADO, A
    JOURNAL OF THE EXPERIMENTAL ANALYSIS OF BEHAVIOR, 1993, 60 (02) : 469 - 472
  • [49] REALIGNMENT OPERATION AND CCNR CRITERION OF SEPARABILITY FOR STATES IN INFINITE-DIMENSIONAL QUANTUM SYSTEMS
    Guo, Yu
    Hou, Jinchuan
    REPORTS ON MATHEMATICAL PHYSICS, 2013, 72 (01) : 25 - 40
  • [50] Full separability criterion for tripartite quantum systems
    Yu, C.-S.
    Song, H.-S.
    EUROPEAN PHYSICAL JOURNAL D, 2007, 42 (01): : 147 - 151
12345