On description of bistochastic Kadison-Schwarz operators on M_2(C)
Farrukh Mukhamedov, Abduaziz Abduganiev
TL;DR
This paper characterizes bistochastic Kadison-Schwarz operators on 2x2 complex matrices, identifying positive but not Kadison-Schwarz operators and constructing Kadison-Schwarz operators that are not completely positive.
Contribution
It provides a detailed description of bistochastic Kadison-Schwarz operators on M_2(C), including the construction of non-completely positive examples.
Findings
Identified positive but non-Kadison-Schwarz operators.
Constructed Kadison-Schwarz operators that are not completely positive.
Provided a characterization that aids in understanding operator properties.
Abstract
In this paper we describe bistochastic Kadison-Schawrz operators on . 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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