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This article is cited in 6 scientific papers (total in 6 papers)
Quantum system structures of quantum spaces and entanglement breaking maps
A. A. Dosi Mathematics Research Group, Middle East Technical University, Northern Cyprus Campus, Güzelyurt, Turkey
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.
Keywords:
quantum cone, quantum ball, operator systems, quantum systems, entanglement breaking mapping.
Received: 27.01.2018 and 28.07.2018
Citation:
A. A. Dosi, “Quantum system structures of quantum spaces and entanglement breaking maps”, Mat. Sb., 210:7 (2019), 21–93; Sb. Math., 210:7 (2019), 928–993
Linking options:
https://www.mathnet.ru/eng/sm9074https://doi.org/10.1070/SM9074 https://www.mathnet.ru/eng/sm/v210/i7/p21
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Abstract page: | 319 | Russian version PDF: | 32 | English version PDF: | 13 | References: | 46 | First page: | 20 |
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