Strong entropic uncertainty relations for multiple measurements

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

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Submission date: 07. Jul. 2016
Pages: 9
published in: Physical review / A, 93 (2016) 4, art-no. 042125 
DOI number (of the published article): 10.1103/PhysRevA.93.042125
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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 Renyi and Tsallis entropies besides the Shannon entropy. We employ majorization theory and actions of the symmetric group to obtain an admixture bound for entropic uncertainty relations for multi-measurements. Comparisons among all bounds for multi-measurements are given in two figures.