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arXiv · 1604.02927

Strong entropic uncertainty relations for multiple measurements

Yunlong Xiao·Naihuan Jing·Shao-Ming Fei·Tao Li·Xianqing Li-Jost·Teng Ma·Zhi-Xi Wang
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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 Rényi 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.

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Yunlong Xiao, Naihuan Jing, Shao-Ming Fei, Tao Li, Xianqing Li-Jost, Teng Ma, Zhi-Xi Wang. 2016-04-11. Strong entropic uncertainty relations for multiple measurements. https://doi.org/10.1103/physreva.93.042125

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