Strong entropic uncertainty relations for multiple measurements
Strong entropic uncertainty relations for multiple measurements
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多次测量的强熵不确定性关系
DOI：
10.1103/physreva.93.042125
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发表时间：
2016-04
影响因子：
2.9
通讯作者：
Wang, Zhi-Xi
中科院分区：
文献类型：
--
作者：
Li, Tao;Li-Jost, Xianqing;Ma, Teng;Wang, Zhi-Xi
在本文中，我们研究了有限维希尔伯特空间上的熵不确定关系，并为多重测量提供了几个更严格的界限，其中一些除了香农熵之外还适用于 R\'enyi 和 Tsallis 熵。我们采用多数化理论和对称群的作用来获得多重测量的熵不确定关系的混合界。两张图中给出了多重测量所有界限之间的比较。
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.