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

Abstract

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.

7 pages, 1 figure

References in corpus (2)

• On non-completely positive quantum dynamical maps on spin chains
• On positive decomposable maps

Cited by in corpus (4)

• Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality
• On pure quasi quantum quadratic operators of M_2(C)
• On Kadison-Schwarz type quantum quadratic operators on $\bm_2(\mathbb{C})$
• Unital Kadison-Schwarz Maps