On description of bistochastic Kadison-Schwarz operators on M_2(C)

Farrukh Mukhamedov; Abduaziz Abduganiev

doi:10.1142/S1230161210000151

On description of bistochastic Kadison-Schwarz operators on M_2(C)

Mathematical Physics 2012-04-10 v1 Functional Analysis math.MP Quantum Physics

Authors: Farrukh Mukhamedov , Abduaziz Abduganiev

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Abstract

In this paper we describe bistochastic Kadison-Schawrz operators on $M_2(\mathbb{C})$ . Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.

Keywords

bistochastic operator Kadison-Schwarz operator completely positive map positive operator M_2(C)

Cite

@article{arxiv.1005.5532,
  title  = {On description of bistochastic Kadison-Schwarz operators on M_2(C)},
  author = {Farrukh Mukhamedov and Abduaziz Abduganiev},
  journal= {arXiv preprint arXiv:1005.5532},
  year   = {2012}
}

Comments

7 pages, 1 figure

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