Decomposition and partial trace of positive matrices with Hermitian blocks
Functional Analysis
2012-10-12 v2
Abstract
Let H be a positive semidefinite matrix partitioned into Hermitian blocks. Then, up to a direct sum operation, H is the average of matrices isometrically congruent to its partial trace. A few corollaries are given, related to important inequalities in quantum information theory such as the Nielsen-Kempe separability criterion.
Keywords
Cite
@article{arxiv.1210.2922,
title = {Decomposition and partial trace of positive matrices with Hermitian blocks},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:1210.2922},
year = {2012}
}