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.

引用

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页码：1159 / 1170

页数：12

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