On Kadison-Schwarz Approximation to Positive Maps

被引：7

作者：

Chruscinski, Dariusz ^{[1
]}

Mukhamedov, Farrukh ^{[2
]}

Hajji, Mohamed Ali ^{[2
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Phys Astron & Informat, Inst Phys, Grudziadzka 5-7, PL-87100 Torun, Poland

[2] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

来源：

OPEN SYSTEMS & INFORMATION DYNAMICS | 2020年 / 27卷 / 03期

关键词：

Positive maps; operator algebras; Kadison inequality; LINEAR MAPS;

D O I：

10.1142/S123016122050016X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).

引用

页数：13

共 32 条

[11] Entanglement witnesses: construction, analysis and classification [J].

Chruscinski, Dariusz ;

Sarbicki, Gniewomir .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (48)

[12] Optimal entanglement witnesses from generalized reduction and Robertson maps [J].

Chruscinski, Dariusz ;

Pytel, Justyna .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (16)

[13] Constructing optimal entanglement witnesses. II. Witnessing entanglement in 4N x 4N systems [J].

Chruscinski, Dariusz ;

Pytel, Justyna .

PHYSICAL REVIEW A, 2010, 82 (05)

[14] Constructing optimal entanglement witnesses [J].

Chruscinski, Dariusz ;

Pytel, Justyna ;

Sarbicki, Gniewomir .

PHYSICAL REVIEW A, 2009, 80 (06)

[15] Reduction criterion of separability and limits for a class of distillation protocols [J].

Horodecki, M ;

Horodecki, P .

PHYSICAL REVIEW A, 1999, 59 (06) :4206-4216

[16] From limits of quantum operations to multicopy entanglement witnesses and state-spectrum estimation [J].

Horodecki, P .

PHYSICAL REVIEW A, 2003, 68 (05)

[17] Method for direct detection of quantum entanglement [J].

Horodecki, P ;

Ekert, A .

PHYSICAL REVIEW LETTERS, 2002, 89 (12) :1279021-1279024

[18] Quantum entanglement [J].

Horodecki, Ryszard ;

Horodecki, Pawel ;

Horodecki, Michal ;

Horodecki, Karol .

REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :865-942

[19]

Kadison R. V., 1986, GRADUATE STUDIES MAT, V15

[20] ON THE ORTHOGONALIZATION OF OPERATOR REPRESENTATIONS [J].

KADISON, RV .

AMERICAN JOURNAL OF MATHEMATICS, 1955, 77 (03) :600-620

← 1 2 3 4 →