Entropic uncertainty relations for multiple measurements
Entropic uncertainty relations for multiple measurements
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多次测量的熵不确定性关系
DOI：
10.1103/physreva.91.042133
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发表时间：
2015-04-30
影响因子：
2.9
通讯作者：
Fan, Heng
中科院分区：
文献类型：
--
作者：
Liu, Shang;Mu, Liang-Zhu;Fan, Heng
我们给出了多个测量环境下的不确定度关系，证明了量子力学的测不准原理。在量子存储器存在和不存在的两种情况下，都得到了这些测不准关系，并且可以用统一的方法来证明。我们的结果恢复了两个观察量的一些众所周知的熵不确定关系，这些关系表明了两个不相容测量结果的不确定性。用来量化不确定程度的这些关系的界限形式简明，易于计算。这些不确定关系可能在量子理论的基础上发挥重要作用。讨论了这些熵不确定关系的潜在实验证明。
We present the entropic uncertainty relations for multiple measurement settings which demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations are obtained for both cases with and without the presence of quantum memory, and can be proven by a unified method. Our results recover some well known entropic uncertainty relations for two observables, which show the uncertainties about the outcomes of two incompatible measurements. The bounds of those relations which quantify the extent of the uncertainty take concise forms and are easy to calculate. Those uncertainty relations might play important roles in the foundations of quantum theory. Potential experimental demonstration of those entropic uncertainty relations is discussed.