Abstract

Non-Gaussianity is an important resource for quantum information processing with continuous variables. We introduce a measure of the non-Gaussianity of bosonic field states based on the Hellinger distance and present its basic features. This measure has some natural properties and is easy to compute. We illustrate this measure with typical examples of bosonic field states and compare it with various measures of non-Gaussianity. In particular, we highlight its similarity to and difference from the measure based on the Bures distance (or, equivalently, fidelity).

中文翻译：

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通过Hellinger距离量化非高斯性

摘要

非高斯性是具有连续变量的量子信息处理的重要资源。我们介绍了一种基于赫林格距离的玻色场状态非高斯性度量，并介绍了其基本特征。此度量具有某些自然属性，并且易于计算。我们用典型的玻色场状态示例说明了该措施，并将其与各种非高斯性措施进行了比较。特别是，我们强调了它与基于Bures距离（或等效地，保真度）的度量的相似性和差异。