Bounds on general entropy measures
Quantum Physics
2007-05-23 v3
Abstract
We show how to determine the maximum and minimum possible values of one measure of entropy for a given value of another measure of entropy. These maximum and minimum values are obtained for two standard forms of probability distribution (or quantum state) independent of the entropy measures, provided the entropy measures satisfy a concavity/convexity relation. These results may be applied to entropies for classical probability distributions, entropies of mixed quantum states and measures of entanglement for pure states.
Cite
@article{arxiv.quant-ph/0305059,
title = {Bounds on general entropy measures},
author = {Dominic W. Berry and Barry C. Sanders},
journal= {arXiv preprint arXiv:quant-ph/0305059},
year = {2007}
}
Comments
13 pages, 3 figures, published version