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Entropy excesses as quantifiers of nonclassicality

文献类型：期刊论文

作者Zhang, Yue3,4; Luo, Shunlong1,2
刊名EUROPEAN PHYSICAL JOURNAL PLUS
出版日期2021-04-28
卷号136期号:4页码:12
ISSN号2190-5444
DOI10.1140/epjp/s13360-021-01459-z
英文摘要Any quantum state of a bosonic field can be described by a density operator on the system Hilbert space, or equivalently, by the corresponding Husimi function on the phase space. For the density operator, there is a family of quantum Tsallis entropies (including the von Neumann entropy as a particular instance) quantifying its uncertainty (mixedness), and for the Husimi function, there is a corresponding family of classical Tsallis entropies (including the Wehrl entropy as a particular instance) synthesizing its phase-space uncertainty. We propose to use the entropy excesses, i.e., the differences between the classical Tsallis entropies and the quantum Tsallis entropies, as quantifiers of nonclassicality of bosonic field states. We elaborate on this idea and highlight the entropy excess arising from the difference between the Wehrl (classical) entropy and the von Neumann (quantum) entropy as a significant indicator of nonclassicality. We further illustrate these nonclassicality quantifiers by several widely used states in quantum optics. This entropic approach to nonclassicality sheds light on the nature of nonclassicality from an information-theoretic perspective involving the heterodyne measurement.
资助项目National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010]
WOS研究方向Physics
语种英语
WOS记录号WOS:000647020700005
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58656]  
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 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China
4.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Yue,Luo, Shunlong. Entropy excesses as quantifiers of nonclassicality[J]. EUROPEAN PHYSICAL JOURNAL PLUS,2021,136(4):12.
APA Zhang, Yue,&Luo, Shunlong.(2021).Entropy excesses as quantifiers of nonclassicality.EUROPEAN PHYSICAL JOURNAL PLUS,136(4),12.
MLA Zhang, Yue,et al."Entropy excesses as quantifiers of nonclassicality".EUROPEAN PHYSICAL JOURNAL PLUS 136.4(2021):12.

入库方式： OAI收割

来源：数学与系统科学研究院

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