Indecomposable positive linear maps constructed from permutations

被引:1
作者
Li, Xin [1 ]
Fang, Xiaochun [1 ]
机构
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
positive linear map; permutation; cycle; indecomposable; atomic; D-type; MATRIX ALGEBRAS; ENTANGLEMENT;
D O I
10.1080/03081087.2015.1036000
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We generalize two classes of D-type positive linear maps by permutations. For the first class, we discuss their indecomposability and give conditions when they are indecomposable and decomposable. For the other class, we show that they are atomic.
引用
收藏
页码:297 / 308
页数:12
相关论文
共 19 条
[1]   POSITIVE SEMIDEFINITE BIQUADRATIC FORMS [J].
CHOI, MD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 12 (02) :95-100
[2]   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
[3]   A class of positive atomic maps [J].
Chruscinski, Dariusz ;
Kossakowski, Andrzej .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (21)
[4]  
Chuang I. N., 2000, Quantum Computation and Quantum Information
[5]  
Eom MH, 2000, MATH SCAND, V86, P130
[6]   Atomic positive linear maps in matrix algebras [J].
Ha, KC .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1998, 34 (06) :591-599
[7]   A class of atomic positive linear maps in matrix algebras [J].
Ha, KC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 359 :277-290
[8]   Separability of mixed states: Necessary and sufficient conditions [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICS LETTERS A, 1996, 223 (1-2) :1-8
[9]   Quantum entanglement [J].
Horodecki, Ryszard ;
Horodecki, Pawel ;
Horodecki, Michal ;
Horodecki, Karol .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :865-942
[10]  
Hou J., ARXIV12110386