A simple proof of the Jamiolkowski criterion for complete positivity of linear maps
Mathematical Physics
2007-05-23 v2 math.MP
Quantum Physics
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.
Cite
@article{arxiv.math-ph/0406010,
title = {A simple proof of the Jamiolkowski criterion for complete positivity of linear maps},
author = {D. Salgado and J. L. Sanchez-Gomez and M. Ferrero},
journal= {arXiv preprint arXiv:math-ph/0406010},
year = {2007}
}
Comments
12 pages (double space), no figures. Some points further clarified