Interpolation by completely positive maps

被引：27
|
作者：
Li, Chi-Kwong [2 ]
Poon, Yiu-Tung [1 ]
机构：
[1] Iowa State Univ, Dept Math, Ames, IA 50051 USA
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 10期
基金：
美国国家科学基金会;
关键词：
completely positive map; quantum operations; dilations; Hermitian matrices; eigenvalues; majorization; MATRIX MAJORIZATION; NUMERICAL RANGES; DILATIONS;
D O I：
10.1080/03081087.2011.585987
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given commuting families of Hermitian matrices {A(1), ... , A(k)} and {B1, ... , B(k)}, conditions for the existence of a completely positive map Phi, such that Phi (Aj)B(j) for j = 1, ... , k, are studied. Additional properties such as unital or/and trace preserving on the map Phi are also considered. Connections of the study to dilation theory, matrix inequalities, unitary orbits and quantum information science are mentioned.
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页码：1159 / 1170
页数：12
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