Entropy excesses as quantifiers of nonclassicality

doi:10.1140/epjp/s13360-021-01459-z

CSpace > 应用数学研究所

	Entropy excesses as quantifiers of nonclassicality
	Zhang, Yue 1,2; Luo, Shunlong3,4
	2021-04-28
发表期刊	EUROPEAN PHYSICAL JOURNAL PLUS
ISSN	2190-5444
卷号	136 期号:4 页码:12
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.
DOI	10.1140/epjp/s13360-021-01459-z
收录类别	SCI
语种	英语
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
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000647020700005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58657
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China 2.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.