Quantum system structures of quantum spaces and entanglement breaking maps

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Abstract

This paper is devoted to the classification of quantum systems among the quantum spaces. In the normed case we obtain a complete solution to the problem when an operator space turns out to be an operator system. The min and max quantizations of a local order are described in terms of the min and max envelopes of the related state spaces. Finally, we characterize min-max-completely positive maps between Archimedean order unit spaces and investigate entanglement breaking maps in the general setting of quantum systems.Bibliography: 34 titles.

About the authors

Anar Adıgüzel oğlu Dosi

Middle East Technical University Northern Cyprus Campus

Email: dosiev@yahoo.com
Doctor of physico-mathematical sciences, Professor

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