Comment on "Uncertainty relations in terms of the Tsallis entropy

Abstract

We prove that the inequality used recently by Wilk and Włodarczyk [Phys. Rev. A {\bf 79}, 062108 (2009)] to find a better lower bound in the uncertainty relations for the Rényi entropies is invalid. Thus, the problem of improving the bound given in our paper [Phys. Rev. A {\bf 74}, 052101 (2006)] remains unsolved.

3 pages

References in corpus (1)

• Formulation of the uncertainty relations in terms of the Renyi entropies

Cited by in corpus (4)

• Entropic Uncertainty Relations in Quantum Physics
• Rényi entropy uncertainty relation for successive projective measurements
• Uncertainty Relations for coarse-grained measurements: an overview
• Shannon entropy as a measure of uncertainty in positions and momenta