Noninvertibility as a requirement for creating a semigroup under convex combinations of channels
arXiv:2111.09264 · doi:10.1103/PhysRevA.105.032422
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.
arXiv comment5 pages
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- Noninvertibility and non-Markovianity of quantum dynamical maps
- Phase-covariant mixtures of non-unital qubit maps
- Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor