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Acta Mathematica Vietnamica

Generalizing Choi-Like Maps

Dariusz Chruściński , icon-email Marcin Marciniak , Adam Rutkowski

Abstract

A problem of further generalization of generalized Choi maps $\Phi_{[a,b,c]}$ acting on $\mathbb M_3$ introduced by Cho, Kye, and Lee is discussed. Some necessary conditions for positivity of the generalized maps are provided as well as some sufficient conditions. Also, some sufficient conditions for decomposability of these maps are shown.