Contraction coefficients for noisy quantum channels
Quantum Physics
2016-01-20 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
Generalized relative entropy, monotone Riemannian metrics, geodesic distance, and trace distance are all known to decrease under the action of quantum channels. We give some new bounds on, and relationships between, the maximal contraction for these quantities.
Keywords
Cite
@article{arxiv.1508.03551,
title = {Contraction coefficients for noisy quantum channels},
author = {Fumio Hiai and Mary Beth Ruskai},
journal= {arXiv preprint arXiv:1508.03551},
year = {2016}
}
Comments
40 pages