A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators

Details A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators

2004-11-24

arxiv.org/abs/math-ph/0411074v1

In R.F. Alvarez-Estrada et al (eds.), Fundamental Physics Meeting "Alberto Galindo", Dpto. Fisica Teorica UCM, Madrid, 2004 (m

Physics

Mathematical Physics

9 pages, no figures. Latex class svmult.cls required

Scientific paper

We generalize a preceding simple proof of the Jamiolkowski criterion to check
whether a given linear map between algebras of operators is completely positive
or not. The generalization is performed to embrace all algebras of
Hilbert-Schmidt class operators, thus possibly infinite-dimensional.

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