A simple proof of the Jamiolkowski criterion for complete positivity of linear maps

Abstract

We give a simple direct proof of the Jamiolkowski criterion to check whether a linear map between matrix algebras is completely positive or not. This proof is more accesible for physicists than others found in the literature and provides a systematic method to give any set of Kraus matrices of its Kraus decomposition.

12 pages (double space), no figures. Some points further clarified