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Sbornik: Mathematics, 2019, Volume 210, Issue 7, Pages 928–993
DOI: https://doi.org/10.1070/SM9074 (Mi sm9074) 		 
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
English version PDF (970 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM9074
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
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 7, Pages 21–93
DOI: https://doi.org/10.4213/sm9074
Bibliographic databases:
Document Type: Article
UDC: 517.986.242+517.982.354
MSC: Primary 46L07; Secondary 46B40, 47L25
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM9074
  • https://www.mathnet.ru/eng/sm/v210/i7/p21
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:358
    Russian version PDF:35
    English version PDF:20
    References:55
    First page:20
     
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