Separability of rank two quantum states

被引:31
作者
Albeverio, S [1 ]
Fei, SM [1 ]
Goswami, D [1 ]
机构
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
关键词
D O I
10.1016/S0375-9601(01)00413-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Explicit sufficient and necessary conditions for separability of higher-dimensional quantum systems with rank two density matrices are given. A nonseparability inequality is also presented, for the case where one of the eigenvectors corresponding to nonzero eigenvalues is a maximally entangled state. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:91 / 96
页数:6
相关论文
共 24 条
[1]   Teleportation of general finite-dimensional quantum systems [J].
Albeverio, S ;
Fei, SM .
PHYSICS LETTERS A, 2000, 276 (1-4) :8-11
[2]  
Bell J. S., 1964, Physics Physique Fizika, V1, P195, DOI [DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[3]   COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].
BENNETT, CH ;
WIESNER, SJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884
[4]   TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].
BENNETT, CH ;
BRASSARD, G ;
CREPEAU, C ;
JOZSA, R ;
PERES, A ;
WOOTTERS, WK .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899
[5]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[6]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[7]   QUANTUM COMPUTATION [J].
DIVINCENZO, DP .
SCIENCE, 1995, 270 (5234) :255-261
[8]   Optimal eavesdropping in quantum cryptography .1. Information bound and optimal strategy [J].
Fuchs, CA ;
Gisin, N ;
Griffiths, RB ;
Niu, CS ;
Peres, A .
PHYSICAL REVIEW A, 1997, 56 (02) :1163-1172
[9]   Entanglement of a pair of quantum bits [J].
Hill, S ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1997, 78 (26) :5022-5025
[10]   Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature? [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5239-5242