Quantifying non-Gaussianity via the Hellinger distance

doi:10.1134/S0040577920080061

CSpace > 应用数学研究所

	Quantifying non-Gaussianity via the Hellinger distance
	Zhang, Yue 1,2; Luo, Shunlong1,2
	2020-08-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	204 期号:2 页码:1046-1058
摘要	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).
关键词	bosonic field Gaussian state non-Gaussianity Hellinger distance Bures distance
DOI	10.1134/S0040577920080061
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000564930100006
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52073
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yue,Luo, Shunlong. Quantifying non-Gaussianity via the Hellinger distance[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2020,204(2):1046-1058.
APA	Zhang, Yue,&Luo, Shunlong.(2020).Quantifying non-Gaussianity via the Hellinger distance.THEORETICAL AND MATHEMATICAL PHYSICS,204(2),1046-1058.
MLA	Zhang, Yue,et al."Quantifying non-Gaussianity via the Hellinger distance".THEORETICAL AND MATHEMATICAL PHYSICS 204.2(2020):1046-1058.