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Noninvertibility as a requirement for creating a semigroup under convex combinations of channels (2111.09264v3)

Published 17 Nov 2021 in quant-ph

Abstract: We study the conditions under which a semigroup is obtained upon convex combinations of channels. In particular, we study the set of Pauli and generalized Pauli channels. We find that mixing only semigroups can never produce a semigroup. Counter-intuitively, we find that for a convex combination to yield a semigroup, most of the input channels have to be noninvertible.

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