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Quantifying non-Gaussianity of bosonic fields via an uncertainty relation
Fu, Shuangshuang1; Luo, Shunlong2,3; Zhang, Yue2,3
2020-01-30
Source PublicationPHYSICAL REVIEW A
ISSN2469-9926
Volume101Issue:1Pages:8
AbstractWhile Gaussian states and associated Gaussian operations are basic ingredients and convenient objects for continuous-variable quantum information, it is also realized that non-Gaussianity is an important resource for quantum information processing. The characterization and quantification of non-Gaussianity have been widely studied in the past decade, with several significant measures for non-Gaussianity introduced. In this work, by exploiting an information-theoretic refinement of the conventional Heisenberg uncertainty relation and a physical characterization of Gaussian states as minimum uncertainty states, we introduce an easily computable measure for non-Gaussianity of bosonic field states in terms of the Wigner-Yanase skew information. Fundamental properties, as well as intuitive meaning, of this measure are unveiled. The concept is illustrated by prototypical non-Gaussian states, and compared with various existent measures for non-Gaussianity. Its merit and physical significance are elucidated.
DOI10.1103/PhysRevA.101.012125
Indexed BySCI
Language英语
Funding ProjectYoung Scientists Fund of the National Natural Science Foundation of China[11605006] ; Natural Science Foundation of China[11875317]
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000510143800001
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50772
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Yue
Affiliation1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Fu, Shuangshuang,Luo, Shunlong,Zhang, Yue. Quantifying non-Gaussianity of bosonic fields via an uncertainty relation[J]. PHYSICAL REVIEW A,2020,101(1):8.
APA Fu, Shuangshuang,Luo, Shunlong,&Zhang, Yue.(2020).Quantifying non-Gaussianity of bosonic fields via an uncertainty relation.PHYSICAL REVIEW A,101(1),8.
MLA Fu, Shuangshuang,et al."Quantifying non-Gaussianity of bosonic fields via an uncertainty relation".PHYSICAL REVIEW A 101.1(2020):8.
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