Reflections upon separability and distillability

被引:132
作者
Bruss, D [1 ]
Cirac, JI
Horodecki, P
Hulpke, F
Kraus, B
Lewenstein, M
Sanpera, A
机构
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[3] Gdansk Univ Technol, Fac Appl Phys & Math, PL-80952 Gdansk, Poland
关键词
D O I
10.1080/09500340110105975
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An abstract formulation is presented of the so-called Innsbruck-Hannover programme that investigates quantum correlations and entanglement in terms of convex sets. A unified description is given of optimal decompositions of quantum states and the optimization of witness operators that detect whether a given state belongs to a given convex set. The abstract formulation is illustrated with several examples, and relations between optimal entanglement witnesses and n-copy non-distillable states with non-positive partial transpose are discussed.
引用
收藏
页码:1399 / 1418
页数:20
相关论文
共 68 条
[1]   Generalized Schmidt decomposition and classification of three-quantum-bit states [J].
Acín, A ;
Andrianov, A ;
Costa, L ;
Jané, E ;
Latorre, JI ;
Tarrach, R .
PHYSICAL REVIEW LETTERS, 2000, 85 (07) :1560-1563
[2]   Classification of mixed three-qubit states -: art. no. 040401 [J].
Acín, A ;
Bruss, D ;
Lewenstein, M ;
Sanpera, A .
PHYSICAL REVIEW LETTERS, 2001, 87 (04) :40401-1
[3]  
Alber G, 2001, SPRINGER TRAC MOD PH, V173, P1
[4]  
[Anonymous], 2009, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744
[5]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[6]   Unextendible product bases and bound entanglement [J].
Bennett, CH ;
DiVincenzo, DP ;
Mor, T ;
Shor, PW ;
Smolin, JA ;
Terhal, BM .
PHYSICAL REVIEW LETTERS, 1999, 82 (26) :5385-5388
[7]   Purification of noisy entanglement and faithful teleportation via noisy channels [J].
Bennett, CH ;
Brassard, G ;
Popescu, S ;
Schumacher, B ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1996, 76 (05) :722-725
[8]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[9]  
BOUWMEESTER D, 2000, PHYSICS QUANTUM INFO
[10]   Quantum key distribution:: From principles to practicalities [J].
Bruss, D ;
Lütkenhaus, N .
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2000, 10 (4-5) :383-399