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Quantifying non-Gaussianity via the Hellinger distance
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2020-08-13 , DOI: 10.1134/s0040577920080061 Yue Zhang , Shunlong Luo
中文翻译:
通过Hellinger距离量化非高斯性
更新日期:2020-08-13
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2020-08-13 , DOI: 10.1134/s0040577920080061 Yue Zhang , Shunlong Luo
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:
通过Hellinger距离量化非高斯性