D. Salgado, J. L. Sanchez-Gomez, M. Ferrero
Published 2004-06-04, updated 2004-06-16Version 2
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.
Comments: 12 pages (double space), no figures. Some points further clarified
A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators
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