Sampling entropies and operational phase-space measurement. I. General formalism.
Sampling entropies and operational phase-space measurement. I. General formalism.
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DOI：
10.1103/physreva.51.2575
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发表时间：
1995-03
期刊：
影响因子：
--
通讯作者：
Buzek;Keitel;Knight
中科院分区：
文献类型：
--
作者：
Buzek;Keitel;Knight
我们提出了一个熵描述的量子力学状态的基础上的操作方法相空间测量。我们给出了采样熵的一个简单的相空间解释，据此我们导出了非常一般的熵不确定性关系，反映了给定测量中量子力学状态的相空间不确定性的程度（即，一个“量子规则”的状态）。我们与采样熵的冯诺依曼和香农熵，并表明Wehrl熵代表一个特定的例子时，量子统治者表示的相干态的采样熵。
We present an entropic description of quantum-mechanical states based on an operational approach to a phase-space measurement. We give a simple phase-space interpretation of sampling entropies in terms of which we derive very general entropic uncertainty relations reflecting the degree of the phase-space uncertainty of the quantum-mechanical state in the given measurement (i.e., for a given ``quantum-ruler'' state). We relate the sampling entropy to the von Neumann and Shannon entropy and show that the Wehrl entropy represents a particular example of a sampling entropy when the quantum ruler is represented by coherent states.