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
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
收藏
页数:13
相关论文
共 32 条
[1]   Direct estimation of functionals of density operators by local operations and classical communication [J].
Alves, CM ;
Horodecki, P ;
Oi, DKL ;
Kwek, LC ;
Ekert, AK .
PHYSICAL REVIEW A, 2003, 68 (03)
[2]   Mirrored entanglement witnesses [J].
Bae, Joonwoo ;
Chruscinski, Dariusz ;
Hiesmayr, Beatrix C. .
NPJ QUANTUM INFORMATION, 2020, 6 (01)
[3]   Designing quantum information processing via structural physical approximation [J].
Bae, Joonwoo .
REPORTS ON PROGRESS IN PHYSICS, 2017, 80 (10)
[4]  
Bhatia R., 2015, Princeton Series in Applied Mathematics
[5]   GENERALIZED CHOI MAPS IN 3-DIMENSIONAL MATRIX ALGEBRA [J].
CHO, SJ ;
KYE, SH ;
LEE, SG .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 :213-224
[6]  
Choi M-D., 1980, J OPERAT THEOR, V4, P271
[7]   POSITIVE SEMIDEFINITE BIQUADRATIC FORMS [J].
CHOI, MD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 12 (02) :95-100
[8]   SCHWARZ INEQUALITY FOR POSITIVE LINEAR MAPS ON C-STAR-ALGEBRAS [J].
CHOI, MD .
ILLINOIS JOURNAL OF MATHEMATICS, 1974, 18 (04) :565-574
[9]   On the structure of entanglement witnesses and new class of positive indecomposable maps [J].
Chruscinski, Dariusz ;
Kossakowski, Andrzej .
OPEN SYSTEMS & INFORMATION DYNAMICS, 2007, 14 (03) :275-294
[10]   Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality [J].
Chruscinski, Dariusz ;
Mukhamedov, Farrukh .
PHYSICAL REVIEW A, 2019, 100 (05)