Distillability via protocols respecting the positivity of partial transpose

被引:51
作者
Eggeling, T [1 ]
Vollbrecht, KGH [1 ]
Werner, RF [1 ]
Wolf, MM [1 ]
机构
[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Math Phys, D-38106 Braunschweig, Germany
关键词
D O I
10.1103/PhysRevLett.87.257902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound entangled states with nonpositive partial transpose exist is therefore closely related to the connection between the set of separable superoperators and positive partial transpose-preserving maps.
引用
收藏
页码:257902 / 1
页数:3
相关论文
共 15 条
[1]   Separability of very noisy mixed states and implications for NMR Quantum computing [J].
Braunstein, SL ;
Caves, CM ;
Jozsa, R ;
Linden, N ;
Popescu, S ;
Schack, R .
PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057
[2]   Entangling operations and their implementation using a small amount of entanglement [J].
Cirac, JI ;
Dür, W ;
Kraus, B ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 2001, 86 (03) :544-547
[3]   Evidence for bound entangled states with negative partial transpose [J].
DiVincenzo, DP ;
Shor, PW ;
Smolin, JA ;
Terhal, BM ;
Thapliyal, AV .
PHYSICAL REVIEW A, 2000, 61 (06) :13
[4]   Distillability and partial transposition in bipartite systems -: art. no. 062313 [J].
Dür, W ;
Cirac, JI ;
Lewenstein, M ;
Bruss, D .
PHYSICAL REVIEW A, 2000, 61 (06) :8
[5]  
Giedke G, 2001, QUANTUM INF COMPUT, V1, P79
[6]   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
[7]   Reduction criterion of separability and limits for a class of distillation protocols [J].
Horodecki, M ;
Horodecki, P .
PHYSICAL REVIEW A, 1999, 59 (06) :4206-4216
[8]  
HORODECKI P, QUANTPH0103091
[9]   BELLS INEQUALITIES AND DENSITY-MATRICES - REVEALING HIDDEN NONLOCALITY [J].
POPESCU, S .
PHYSICAL REVIEW LETTERS, 1995, 74 (14) :2619-2622
[10]   A semidefinite program for distillable entanglement [J].
Rains, EM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (07) :2921-2933