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

2004/11/24 by D. Salgado, J. L. Sanchez-Gomez
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as In R.F. Alvarez-Estrada et al (eds.), Fundamental Physics Meeting "Alberto Galindo", Dpto. Fisica Teorica UCM, Madrid, 2004 (mostly in English) · 9 pages, no figures. Latex class svmult.cls required

arxiv created 2004/11/24 · arxiv updated 2009/12/01

Abstract

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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