Geodesic
Quantum system structures of quantum spaces and entanglement breaking maps
Sbornik. Mathematics, Tome 210 (2019) no. 7, pp. 928-993

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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.
Keywords: quantum cone, quantum ball, operator systems, quantum systems, entanglement breaking mapping. 
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     author = {A. A. Dosi},
     title = {Quantum system structures of quantum spaces and entanglement breaking maps},
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A. A. Dosi. Quantum system structures of quantum spaces and entanglement breaking maps. Sbornik. Mathematics, Tome 210 (2019) no. 7, pp. 928-993. http://geodesic.mathdoc.fr/item/SM_2019_210_7_a1/