Quantifying non-Gaussianity via the Hellinger distance | |
Zhang, Yue1,2; Luo, Shunlong1,2 | |
刊名 | THEORETICAL AND MATHEMATICAL PHYSICS |
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 |
DOI | 10.1134/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 |
出版者 | MAIK NAUKA/INTERPERIODICA/SPRINGER |
WOS记录号 | WOS:000564930100006 |
内容类型 | 期刊论文 |
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.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. |
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