Quantum system structures of quantum spaces and entanglement breaking maps

Date

2019-07-01

Author

Dosi, A. A.

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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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/64319

Journal

SBORNIK MATHEMATICS

DOI

https://doi.org/10.1070/sm9074

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

A. A. Dosi, “Quantum system structures of quantum spaces and entanglement breaking maps,” SBORNIK MATHEMATICS, pp. 928–993, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64319.