A class of positive atomic maps
Quantum Physics
2009-11-13 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
We construct a new class of positive indecomposable maps in the algebra of `d x d' complex matrices. These maps are characterized by the `weakest' positivity property and for this reason they are called atomic. This class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement. It turns out that they are able to detect states with the `weakest' quantum entanglement.
Cite
@article{arxiv.0711.4483,
title = {A class of positive atomic maps},
author = {Dariusz Chruscinski and Andrzej Kossakowski},
journal= {arXiv preprint arXiv:0711.4483},
year = {2009}
}
Comments
15 pages