不确定性原理
连贯性(哲学赌博策略)
量子不和谐
统计物理学
量子
量子态
可见的
量子位元
熵不确定性
量子力学
数学
物理
开放量子系统
作者
Xiao Yuan,Guoqiang Bai,Tianyi Peng,Xiongfeng Ma
出处
期刊:Physical review
日期:2017-09-11
卷期号:96 (3)
被引量:56
标识
DOI:10.1103/physreva.96.032313
摘要
Measurement outcomes of a quantum state can be genuinely random (unpredictable) according to the basic laws of quantum mechanics. The Heisenberg-Robertson uncertainty relation puts constraints on the accuracy of two noncommuting observables. The existing uncertainty relations adopt variance or entropic measures, which are functions of observed outcome distributions, to quantify the uncertainty. According to recent studies of quantum coherence, such uncertainty measures contain both classical (predictable) and quantum (unpredictable) components. In order to extract out the quantum effects, we define quantum uncertainty to be the coherence of the state on the measurement basis. We discover a quantum uncertainty relation using coherence between two measurement noncommuting bases. Furthermore, we analytically derive the quantum uncertainty relation for the qubit case with three widely adopted coherence measures, the relative entropy of coherence, the coherence of formation, and the ${l}_{1}$ norm of coherence.
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