arXiv:1601.00719 Abstract | arXiv Analytics

arXiv:1601.00719 [math.FA]Abstract References Reviews Resources

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

Published 2016-01-05Version 1

In this paper we describe bistochastic Kadison-Schawrz operators acting 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.

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

Categories: math.FA, math-ph, math.MP, quant-ph

Subjects: 47L07, 46L30, 47C15, 15A48, 81P68, 60J99

Keywords: bistochastic kadison-schwarz operators, characterization, construct kadison-schawrz operators, bistochastic kadison-schawrz operators acting

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