Noninvertibility as a requirement for creating a semigroup under convex combinations of channels
Quantum Physics
2022-03-14 v3
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.
Cite
@article{arxiv.2111.09264,
title = {Noninvertibility as a requirement for creating a semigroup under convex combinations of channels},
author = {Vinayak Jagadish and R. Srikanth and Francesco Petruccione},
journal= {arXiv preprint arXiv:2111.09264},
year = {2022}
}
Comments
5 pages