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A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators
D. Salgado, J. L. Sanchez-Gomez
Published 2004-11-24Version 1
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.
Comments: 9 pages, no figures. Latex class svmult.cls required
Journal: In R.F. Alvarez-Estrada et al (eds.), Fundamental Physics Meeting "Alberto Galindo", Dpto. Fisica Teorica UCM, Madrid, 2004 (mostly in English)
Keywords: jamiolkowski criterion, linear map, complete positivity, hilbert-schmidt operators, hilbert-schmidt class operators
Tags: journal article
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