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Quantifying non-Gaussianity via the Hellinger distance

文献类型：期刊论文

作者Zhang, Yue1,2; Luo, Shunlong1,2
刊名THEORETICAL AND MATHEMATICAL PHYSICS
出版日期2020-08-01
卷号204期号:2页码:1046-1058
关键词bosonic field Gaussian state non-Gaussianity Hellinger distance Bures distance
ISSN号0040-5779
DOI10.1134/S0040577920080061
英文摘要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).
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
语种英语
WOS记录号WOS:000564930100006
出版者MAIK NAUKA/INTERPERIODICA/SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/52072]  
专题应用数学研究所
通讯作者Luo, Shunlong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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