On observability of Renyi's entropy
Statistical Mechanics
2009-11-10 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies has zero measure (Bhattacharyya measure). In addition, we show the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up doubts regarding the observability of Renyi's entropy in (multi--)fractal systems and in systems with absolutely continuous PDF's.
Keywords
Cite
@article{arxiv.cond-mat/0307698,
title = {On observability of Renyi's entropy},
author = {Petr Jizba and Toshihico Arimitsu},
journal= {arXiv preprint arXiv:cond-mat/0307698},
year = {2009}
}
Comments
18 pages, 1 EPS figure, REVTeX, minor changes, accepted to Phys. Rev. E