Few remarks on quasi quantum quadratic operators on M2(C)

Farrukh Mukhamedov, Sondos M. Syam, Shamma A.Y. Almazrouei

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The present paper deals with a connection between quantum quadratic operators (QQOs) and quasi QQOs on M2(C). We show that QQOs and quasi QQOs on M2(C) coincide in the class of Volterra type of operators. To establish this result, we first describe these two kind of operators on the commutative part of M2(C). Furthermore, in the last section, we introduce a quantum analogue of Volterra operators and provide concrete examples of such kind of operators. It is established that the considered examples also satisfy quasiness condition as well. The obtained results will allow to produce (with explicit conditions) a class of unital, but not trace-preserving positive maps of M2(C).

Original languageEnglish
Article number2050006
JournalOpen Systems and Information Dynamics
Volume27
Issue number2
DOIs
Publication statusPublished - Jun 1 2020

Keywords

  • Positive operator
  • Quasi quantum quadratic operator
  • Symmetric operator
  • Volterra operator

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics

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