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In this paper, we study entropic uncertainty relations on a finite-dimensional Hilbert space and provide several tighter bounds for multimeasurements, with some of them also valid for R\'enyi 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 multimeasurements. Comparisons among all bounds for multimeasurements are given in two figures.
Xiao et al. (Fri,) studied this question.
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