Interpolation problems by completely positive maps
Functional Analysis
2010-12-09 v1 Quantum Physics
Abstract
Given commuting families of Hermitian matrices {A1, ..., Ak} and {B1, ...., Bk}, conditions for the existence of a completely positive map L, such that L(Aj) = Bj for j = 1, ...,k, are studied. Additional properties such as unital or / and trace preserving on the map ? are also considered. Connections of the study to dilation theory, matrix inequalities, unitary orbits, and quantum information science are mentioned.
Keywords
Cite
@article{arxiv.1012.1675,
title = {Interpolation problems by completely positive maps},
author = {Chi-Kwong Li and Yiu-Tung Poon},
journal= {arXiv preprint arXiv:1012.1675},
year = {2010}
}