Geodesic
Characterization of Bistochastic Kadison--Schwarz Operators on $M_2(\mathbb C)$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 178-191

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We characterize bistochastic Kadison–Schwarz operators acting on $M_2(\mathbb C)$. The obtained characterization allows us to find positive operators that are not Kadison–Schwarz ones. Moreover, we provide several examples of Kadison–Schwarz operators which are not completely positive.
Keywords: bistochastic mapping, Kadison–Schwarz operator, complete positivity. 
@article{TM_2021_313_a15,
     author = {Farrukh Mukhamedov and Hasan Ak{\i}n},
     title = {Characterization of {Bistochastic} {Kadison--Schwarz} {Operators} on $M_2(\mathbb C)$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {178--191},
     publisher = {mathdoc},
     volume = {313},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2021_313_a15/}
}
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Farrukh Mukhamedov; Hasan Akın. Characterization of Bistochastic Kadison--Schwarz Operators on $M_2(\mathbb C)$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 178-191. http://geodesic.mathdoc.fr/item/TM_2021_313_a15/