Spin nonclassicality via variance

doi:10.1134/S0040577921070060

CSpace > 应用数学研究所

	Spin nonclassicality via variance
	Zhang, Yue 1,2; Luo, Shunlong3,4
	2021-07-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	208 期号:1 页码:916-925
摘要	Although variance, as one of the most fundamental and ubiquitous quantities in quantifying uncertainty, has been widely used in both classical and quantum physics, there are still new applications awaiting exploration. In this work, by interchanging the roles of the state variable and the observable variable, i.e., by formally regarding any state as an observable (which is rational because any state is a priori a Hermitian operator ) and considering the average variance of this state (now in the position of an observable ) in all spin coherent states, we introduce a quantifier of spin nonclassicality with respect to a resolution of identity induced by spin coherent states. This quantifier is easy to compute and it admits various operational interpretations, such as the purity deficit, the Tsallis 2-entropy deficit, and the squared norm deficit between the Wigner function and the Husimi function. We reveal several intuitive properties of this quantifier, connect it to the phase-space distribution uncertainty, and illustrate it with some prototypical examples. Various extensions are further indicated.
关键词	spin nonclassicality spin coherent states variance convexity resolution of identity
DOI	10.1134/S0040577921070060
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 ; Physics, Mathematical
WOS记录号	WOS:000673296600006
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58939
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, Peoples R China 2.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yue,Luo, Shunlong. Spin nonclassicality via variance[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2021,208(1):916-925.
APA	Zhang, Yue,&Luo, Shunlong.(2021).Spin nonclassicality via variance.THEORETICAL AND MATHEMATICAL PHYSICS,208(1),916-925.
MLA	Zhang, Yue,et al."Spin nonclassicality via variance".THEORETICAL AND MATHEMATICAL PHYSICS 208.1(2021):916-925.