Spectral conditions for positive maps and entanglement witnesses

被引：4

作者：

Chruscinski, Dariusz ^{[1
]}

Kossakowski, Andrzej ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland

来源：

GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS | 2011年 / 284卷

关键词：

LINEAR-MAPS; MATRIX ALGEBRAS; SEPARABILITY CRITERION; QUANTUM STATES; SPIN FACTORS; AUTOMORPHISMS;

D O I：

10.1088/1742-6596/284/1/012017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide partial classification of entanglement witnesses and positive maps which is based on a family of spectral conditions. Interestingly many well known examples of positive maps (e.g. transposition, reduction map, the family of Choi maps) belong to the class constructed via spectral conditions.

引用

页数：9

共 30 条

[1] Arveson W., 1969, Acta Math, V123, P141, DOI 10.1007/BF02392388
[2] GENERALIZED CHOI MAPS IN 3-DIMENSIONAL MATRIX ALGEBRA
CHO, SJ
KYE, SH
LEE, SG
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 : 213 - 224
[3] COMPLETELY POSITIVE LINEAR MAPS ON COMPLEX MATRICES
CHOI, MD
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 10 (03) : 285 - 290
[4] POSITIVE SEMIDEFINITE BIQUADRATIC FORMS
CHOI, MD
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 12 (02) : 95 - 100
[5] On the structure of entanglement witnesses and new class of positive indecomposable maps
Chruscinski, Dariusz
Kossakowski, Andrzej
[J]. OPEN SYSTEMS & INFORMATION DYNAMICS, 2007, 14 (03) : 275 - 294
[6] How to construct indecomposable entanglement witnesses
Chruscinski, Dariusz
Kossakowski, Andrzej
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (14)
[7] Spectral Conditions for Positive Maps
Chruscinski, Dariusz
Kossakowski, Andrzej
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 290 (03) : 1051 - 1064
[8] Geometry of quantum states: New construction of positive maps
Chruscinski, Dariusz
Kossakowski, Andrzej
[J]. PHYSICS LETTERS A, 2009, 373 (27-28) : 2301 - 2305
[9] A class of positive atomic maps
Chruscinski, Dariusz
Kossakowski, Andrzej
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (21)
[10] Chuang I. N., 2000, Quantum Computation and Quantum Information

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