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

Optimal Universal Uncertainty Relations

Tao Li, Yunlong Xiao, Teng Ma, Shao-Ming Fei, Xianqing Li-Jost, Naihuan Jing and Zhi-Xi Wang


We study universal uncertainty relations and present a method called joint probability distribution diagram to improve the majorization bounds constructed independently in [Phys. Rev. Lett. 111, 230401 (2013)] and [J. Phys. A. 46, 272002 (2013)]. The results give rise to state independent uncertainty relations satisfied by any nonnegative Schur-concave functions. On the other hand, a remarkable recent result of entropic uncertainty relation is the direct-sum majorization relation. In this paper, we illustrate our bounds by showing how they provide a complement to that in [Phys. Rev. A. 89, 052115 (2014)].


Related publications

2016 Journal Open Access
Tao Li, Yunlong Xiao, Teng Ma, Shao-Ming Fei, Nai-Huan Jing, Xianqing Li-Jost and Zhi-Xi Wang

Optimal universal uncertainty relations

In: Scientific reports, 6 (2016), p. 35735