SBORNIK MATHEMATICS, vol.210, no.7, pp.928-993, 2019 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
quantum cone, quantum ball, operator systems, quantum systems, entanglement breaking mapping, UNBOUNDED OPERATORS, ALGEBRAS, QUOTIENTS, BIPOLAR, ANALOGS
Middle East Technical University Affiliated:
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.