Concurrence of mixed bipartite quantum states in arbitrary dimensions

被引：226

作者：

Mintert, F

Kus, M

Buchleitner, A

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Polish Acad Sci, Ctr Fizyki Teoret, PL-02668 Warsaw, Poland

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 16期

关键词：

Density matrix - Hilbert space - Quantum computation - Quantum physics - Quantum states;

D O I：

10.1103/PhysRevLett.92.167902

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary dimensions. As a corollary, a weaker, purely algebraic estimate is found, which detects mixed entangled states with a positive partial transpose.

引用

页码：167902 / 1

页数：4

共 17 条

[1] Variational characterizations of separability and entanglement of formation [J].

Audenaert, K ;

Verstraete, F ;

De Moor, B .

PHYSICAL REVIEW A, 2001, 64 (05) :13

[2] Concurrence in arbitrary dimensions [J].

Badziag, P ;

Deuar, P ;

Horodecki, M ;

Horodecki, P ;

Horodecki, R .

JOURNAL OF MODERN OPTICS, 2002, 49 (08) :1289-1297

[3]

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

[4] Characterizing entanglement [J].

Bruss, D .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (09) :4237-4251

[5] Distinguishing separable and entangled states [J].

Doherty, AC ;

Parrilo, PA ;

Spedalieri, FM .

PHYSICAL REVIEW LETTERS, 2002, 88 (18) :1879041-1879044

[6] Separability criterion and inseparable mixed states with positive partial transposition [J].

Horodecki, P .

PHYSICS LETTERS A, 1997, 232 (05) :333-339

[7] A COMPLETE CLASSIFICATION OF QUANTUM ENSEMBLES HAVING A GIVEN DENSITY-MATRIX [J].

HUGHSTON, LP ;

JOZSA, R ;

WOOTTERS, WK .

PHYSICS LETTERS A, 1993, 183 (01) :14-18

[8]

MINTERTF, 2004, THESIS L MAXIMILIANS

[9]

Nielsen Michael A, 2002, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744

[10] Separability criterion for density matrices [J].

Peres, A .

PHYSICAL REVIEW LETTERS, 1996, 77 (08) :1413-1415

← 1 2 →