Monotonicity of a relative R\'enyi entropy
Mathematical Physics
2015-06-16 v3 Information Theory
Functional Analysis
math.IT
math.MP
Quantum Physics
Abstract
We show that a recent definition of relative R\'enyi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of M\"uller-Lennert et al.
Keywords
Cite
@article{arxiv.1306.5358,
title = {Monotonicity of a relative R\'enyi entropy},
author = {Rupert L. Frank and Elliott H. Lieb},
journal= {arXiv preprint arXiv:1306.5358},
year = {2015}
}
Comments
6 pages; minor revisions