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

Published 30 May 2010 in math-ph, math.FA, math.MP, and quant-ph | (1005.5532v1)

Abstract: In this paper we describe bistochastic Kadison-Schawrz operators 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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