Strong entropic uncertainty relations for multiple measurements
Quantum Physics
2016-05-02 v1
Abstract
In this paper, we study entropic uncertainty relations on a finite-dimensional Hilbert space and provide several tighter bounds for multi-measurements, with some of them also valid for R\'{e}nyi and Tsallis entropies besides the Shannon entropy. We employ majorization theory and actions of the symmetric group to obtain an {\it admixture bound} for entropic uncertainty relations for multi-measurements. Comparisons among all bounds for multi-measurements are shown in figures in our favor.
Keywords
Cite
@article{arxiv.1604.02927,
title = {Strong entropic uncertainty relations for multiple measurements},
author = {Yunlong Xiao and Naihuan Jing and Shao-Ming Fei and Tao Li and Xianqing Li-Jost and Teng Ma and Zhi-Xi Wang},
journal= {arXiv preprint arXiv:1604.02927},
year = {2016}
}
Comments
7 pages