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

Improved quantum entropic uncertainty relations

Zhi-Hua Chen, Zhi-Hao Ma, Yunlong Xiao and Shao-Ming Fei


We study entropic uncertainty relations by using stepwise linear functions and quadratic functions. Two kinds of improved uncertainty lower bounds are constructed: the state-independent one based on the lower bound of Shannon entropy and the tighter state-dependent one based on the majorization techniques. The analytical results for qubit and qutrit systems with two or three measurement settings are explicitly derived, with detailed examples showing that they outperform the existing bounds. The case with the presence of quantum memory is also investigated.

Jan 9, 2019
Jan 15, 2019

Related publications

2018 Repository Open Access
Zhi-Hua Chen, Zhi-Hao Ma, Yunlong Xiao and Shao-Ming Fei

Improved quantum entropic uncertainty relations

In: Physical review / A, 98 (2018) 4, p. 042305