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

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

2004-06-04

arxiv.org/abs/math-ph/0406010v2

Physics

Mathematical Physics

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

Scientific paper

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.

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