Potential output purity of completely positive maps
Quantum Physics
2018-03-14 v1
Abstract
The notion of potential output purity of a completely positive map is introduced as a generalization of the regularized output purity. An upper bound is derived for this quantity, and for several classes of maps (including CQ, QC and Hadamard channels) it is shown that potential purity does not exceed the standard output purity. As an application the potential purity is used to bound the logarithmic Sobolev constant of a product of depolarizing channel semigroups.
Cite
@article{arxiv.1709.07426,
title = {Potential output purity of completely positive maps},
author = {Christopher King},
journal= {arXiv preprint arXiv:1709.07426},
year = {2018}
}
Comments
18 pages