量子观测量的Bhattacharyya统计发散
Bhattacharyya statistical divergence of quantum observables
摘要：
在这篇文章中，我们利用Bhattacharyya统计发散来确定量子观测量的概率分布的相似性。在简要回顾了Bhattacharyya散度的有用特性之后，我们将其应用于确定两个非对易观测量的概率分布的相似性。一个显式表达式的Bhattacharyya统计发散的情况下，发现两个可观的是x-和z-分量的角动量的自旋1/2系统。最后，一个注记的应用所考虑的统计分歧的具体物理测量。
英文摘要：
In this article we exploit the Bhattacharyya statistical divergence to determine the similarity of probability distributions of quantum observables. After brief review of useful characteristics of the Bhattacharyya divergence we apply it to determine the similarity of probability distributions of two non-commuting observables. An explicit expression for the Bhattacharyya statistical divergence is found for the case of two observables which are the x- and z-components of the angular momentum of a spin-1/2 system. Finally, a note is given of application of the considered statistical divergence to the specific physical measurement.
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