A note on invariants and entanglements

被引：158

作者：

Albeverio, S ^{[1
]}

Fei, SM

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China

来源：

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS | 2001年 / 3卷 / 04期

关键词：

entanglement; invariants;

D O I：

10.1088/1464-4266/3/4/305

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Quantum entanglements are studied in terms of the invariants under local unitary transformations. A generalized formula of concurrence for N-dimensional quantum systems is presented. This generalized concurrence has potential applications in studying separability and calculating the entanglement of formation for high-dimensional mixed quantum states.

引用

收藏

页码：223 / 227

页数：5

相关论文

共 29 条

[11] 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

[12] Information, relative entropy of entanglement, and irreversibility [J].

Henderson, L ;

Vedral, V .

PHYSICAL REVIEW LETTERS, 2000, 84 (10) :2263-2266

[13] Entanglement of a pair of quantum bits [J].

Hill, S ;

Wootters, WK .

PHYSICAL REVIEW LETTERS, 1997, 78 (26) :5022-5025

[14] 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

[15] Separability of mixed states: Necessary and sufficient conditions [J].

Horodecki, M ;

Horodecki, P ;

Horodecki, R .

PHYSICS LETTERS A, 1996, 223 (1-2) :1-8

[16] Limits for entanglement measures [J].

Horodecki, M ;

Horodecki, P ;

Horodecki, R .

PHYSICAL REVIEW LETTERS, 2000, 84 (09) :2014-2017

[17]

HORODECKI M, 2000, QUANTPH0006071 LANL

[18]

HORODECKI P, 1999, QUANTPH9910122

[19] Separability and distillability in composite quantum systems - a primer [J].

Lewenstein, M ;

Bruss, D ;

Cirac, JI ;

Kraus, B ;

Kus, M ;

Samsonowicz, J ;

Sanpera, A ;

Tarrach, R .

JOURNAL OF MODERN OPTICS, 2000, 47 (14-15) :2481-2499

[20]

Linden N, 1998, FORTSCHR PHYS, V46, P567, DOI 10.1002/(SICI)1521-3978(199806)46:4/5<567::AID-PROP567>3.0.CO