Quantum system structures of quantum spaces and entanglement breaking maps

Dosi A. A.

SBORNIK MATHEMATICS, cilt.210, sa.7, ss.928-993, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 210 Sayı: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1070/sm9074
  • Dergi Adı: SBORNIK MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.928-993
  • Anahtar Kelimeler: quantum cone, quantum ball, operator systems, quantum systems, entanglement breaking mapping, UNBOUNDED OPERATORS, ALGEBRAS, QUOTIENTS, BIPOLAR, ANALOGS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.