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On characterizations of bistochastic Kadison-Schwarz operators on $M_2(\mathbb{C})$

Functional Analysis 2016-01-06 v1 Mathematical Physics math.MP Quantum Physics

Abstract

In this paper we describe bistochastic Kadison-Schawrz operators acting on M2(C)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.

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Cite

@article{arxiv.1601.00719,
  title  = {On characterizations of bistochastic Kadison-Schwarz operators on $M_2(\mathbb{C})$},
  author = {Farrukh Mukhamedov and Hasan Akin},
  journal= {arXiv preprint arXiv:1601.00719},
  year   = {2016}
}

Comments

16 pages, 2 figures. arXiv admin note: text overlap with arXiv:1005.5532