On Kossakowski construction of positive maps in matrix algebras

TL;DR

This paper analyzes Kossakowski's positive maps in matrix algebras, revealing their geometric structure and connections to group theory, thus advancing understanding of their mathematical properties.

Contribution

It introduces a new parametrization of Kossakowski's positive maps, highlighting their geometric and group-theoretic features.

Findings

New parametrization of positive maps

Revealed geometric structure of the maps

Identified interplay with group theory

Abstract

We provide a further analysis of the class of positive maps proposed ten years ago by Kossakowski. In particular we propose a new parametrization which reveals an elegant geometric structure and an interesting interplay between group theory and a certain class of positive maps.