Optimal Universal Uncertainty Relations
Quantum Physics
2016-10-31 v1
Abstract
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)].
Cite
@article{arxiv.1610.09197,
title = {Optimal Universal Uncertainty Relations},
author = {Tao Li and Yunlong Xiao and Teng Ma and Shao-Ming Fei and Naihuan Jing and Xianqing Li-Jost and Zhi-Xi Wang},
journal= {arXiv preprint arXiv:1610.09197},
year = {2016}
}