On Ruelle transfer operators and completely positive maps
Mathematical Physics
2012-05-09 v1 math.MP
Abstract
We consider applications of transfer operators (also known as Ruelle operators) to completely positive maps (CPT) in quantum information theory. It is described a correspondence between fixed points of CPT maps and certain Markov-invariant measures. We also obtain a definition of entropy induced by transfer operators and an exponential decay property for mixed-unitary channels.
Cite
@article{arxiv.1205.1538,
title = {On Ruelle transfer operators and completely positive maps},
author = {Carlos F. Lardizabal},
journal= {arXiv preprint arXiv:1205.1538},
year = {2012}
}