Quantum system structures of quantum spaces and entanglement breaking maps


Dosi A. A.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 210 Konu: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1070/sm9074
  • Dergi Adı: SBORNIK MATHEMATICS
  • Sayfa Sayıları: ss.928-993

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.