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arxiv: 1601.00719 · v1 · pith:WHSTUFW2new · submitted 2016-01-05 · 🧮 math.FA · math-ph· math.MP· quant-ph

On characterizations of bistochastic Kadison-Schwarz operators on M₂(mathbb{C})

classification 🧮 math.FA math-phmath.MPquant-ph
keywords operatorsbistochastickadison-schawrzkadison-schwarzmathbbpositiveactingallows
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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.

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