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arxiv: 1005.5532 · v1 · pith:ZAA47NPYnew · submitted 2010-05-30 · 🧮 math-ph · math.FA· math.MP· quant-ph

On description of bistochastic Kadison-Schwarz operators on M₂(C)

classification 🧮 math-ph math.FAmath.MPquant-ph
keywords operatorsbistochasticdescriptionkadison-schawrzkadison-schwarzpositiveallowscharacterization
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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.

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