We introduce the scalar average similarity of an ensemble of randomly polarized states. This global measure is based on the complex degree of mutual polarization between any pair of vector fields in the ensemble. We show that, in the case of fully correlated and globally unpolarized fields, the variation of this parameter is bounded, and its value can effectively discriminate between different configurations of pure states.

中文翻译：

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区分随机极化场

我们介绍了随机极化态集合的标量平均相似度。此全局度量基于集合中任何一对矢量场之间的相互极化的复杂程度。我们表明，在完全相关且全局非极化的场的情况下，此参数的变化是有界的，其值可以有效地区分纯状态的不同配置。