Classification of multiqubit mixed states:: Separability and distillability properties -: art. no. 042314

被引：254

作者：

Dür, W ^{[1
]}

Cirac, JI ^{[1
]}

机构：

[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

来源：

PHYSICAL REVIEW A | 2000年 / 61卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.61.042314

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We give a complete, hierarchic classification for arbitrary multiqubit mixed states based on the separability properties of certain partitions. We introduce a family of N-qubit states to which any arbitrary state can be depolarized. This family can be viewed as the generalization of Werner stares to multiqubit systems. We fully classify those states with respect to their separability and distillability properties. This provides sufficient conditions for nonseparability and distillability for arbitrary states.

引用

页码：11 / 423141

页数：11

共 35 条

[1]

Andrews G.E., 1976, THEORY PARTITIONS EN

[2]

Bennett C. H., QUANTPH9908073

[3] 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

[4]

Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824

[5] 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

[6] 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

[7] Observation of three-photon Greenberger-Horne-Zeilinger entanglement [J].

Bouwmeester, D ;

Pan, JW ;

Daniell, M ;

Weinfurter, H ;

Zeilinger, A .

PHYSICAL REVIEW LETTERS, 1999, 82 (07) :1345-1349

[8] 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

[9] Quantum repeaters:: The role of imperfect local operations in quantum communication [J].

Briegel, HJ ;

Dür, W ;

Cirac, JI ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 1998, 81 (26) :5932-5935

[10] Quantum privacy amplification and the security of quantum cryptography over noisy channels [J].

Deutsch, D ;

Ekert, A ;

Jozsa, R ;

Macchiavello, C ;

Popescu, S ;

Sanpera, A .

PHYSICAL REVIEW LETTERS, 1996, 77 (13) :2818-2821

← 1 2 3 4 →