MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Sharp Continuity Bounds for Entropy and Conditional Entropy

Zhi-Hao Ma, Zhi-Hua Chen, Ismail Nikoufar and Shao-Ming Fei


We study the continuity estimation of the Tsallis entropy. An inequality relating the Tsallis entropy difference of two quantum states to their trace norm distance is derived. This inequality is shown to be tight in the sense that equality can be attained for every prescribed value of the trace norm distance. It includes the sharp Fannes inequality for von Neumann entropy as a special case.

03.65.Ud, 03.67.Mn

Related publications

2017 Repository Open Access
Zhi-Hua Chen, Zhi-Hao Ma, Ismail Nikoufar and Shao-Ming Fei

Sharp continuity bounds for entropy and conditional entropy

In: Science in China : physics, mechanics and astronomy, 60 (2017) 2, p. 020321