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We study the memory property of the channels obtained by convex combinationsof Markovian channels that are not necessarily quantum dynamical semigroups(QDSs). In particular, we characterize the geometry of the region of(non-)Markovian channels obtained by the convex combination of the three Paulichannels, as a function of deviation from the semigroup form in a family ofchannels. The regions are highly convex, and interestingly, the measure of thenon-Markovian region shrinks with greater deviation from the QDS structure forthe considered family, underscoring the counterintuitive nature of(non-)Markovianity under channel mixing.

Convex combinations of CP-divisible Pauli channels that are not semigroups