Separability in terms of a single entanglement witness

被引：10

作者：

Badziag, Piotr ^{[1
]}

Horodecki, Pawel ^{[2
]}

Horodecki, Ryszard ^{[3
]}

Augusiak, Remigiusz ^{[2
,4
]}

机构：

[1] Univ Stockholm, Alba Nova Fys, S-10691 Stockholm, Sweden

[2] Gdansk Univ Technol, Fac Appl Phys & Math, PL-80952 Gdansk, Poland

[3] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

[4] ICFO Inst Ciencies Foton, E-08860 Castelldefels, Barcelona, Spain

来源：

PHYSICAL REVIEW A | 2013年 / 88卷 / 01期

关键词：

QUANTUM;

D O I：

10.1103/PhysRevA.88.010301

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The separability problem is formulated in terms of a characterization of a single entanglement witness. More specifically, we show that any (in general multipartite) state rho is separable if and only if a specially constructed entanglement witness W-rho is weakly optimal, i.e., its expectation value vanishes on at least one product vector. Interestingly, the witness can always be chosen to be decomposable. Our result changes the conceptual aspect of the separability problem and raises some questions about the properties of positive maps.

引用

页数：5

共 41 条

[31] Concurrence of mixed multipartite quantum states [J].

Mintert, F ;

Kus, M ;

Buchleitner, A .

PHYSICAL REVIEW LETTERS, 2005, 95 (26)

[32] Concurrence of mixed bipartite quantum states in arbitrary dimensions [J].

Mintert, F ;

Kus, M ;

Buchleitner, A .

PHYSICAL REVIEW LETTERS, 2004, 92 (16) :167902-1

[33] Iterations of nonlinear entanglement witnesses [J].

Moroder, Tobias ;

Guehne, Otfried ;

Luetkenhaus, Norbert .

PHYSICAL REVIEW A, 2008, 78 (03)

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

Peres, A .

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

[35] Full characterization of a three-photon Greenberger-Horne-Zeilinger state using quantum state tomography [J].

Resch, KJ ;

Walther, P ;

Zeilinger, A .

PHYSICAL REVIEW LETTERS, 2005, 94 (07)

[36] Separability, entanglement, and full families of commuting normal matrices [J].

Samsonowicz, Jan ;

Kus, Marek ;

Lewenstein, Maciej .

PHYSICAL REVIEW A, 2007, 76 (02)

[37] Spectral properties of entanglement witnesses [J].

Sarbicki, G. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (37)

[38] Partial separability and entanglement criteria for multiqubit quantum states [J].

Seevinck, Michael ;

Uffink, Jos .

PHYSICAL REVIEW A, 2008, 78 (03)

[39] Necessary and sufficient conditions for bipartite entanglement [J].

Sperling, J. ;

Vogel, W. .

PHYSICAL REVIEW A, 2009, 79 (02)

[40] Bell inequalities and the separability criterion [J].

Terhal, BM .

PHYSICS LETTERS A, 2000, 271 (5-6) :319-326

← 1 2 3 4 5 →