Quantum states as observables: Their variance and nonclassicality

doi:10.1103/PhysRevA.102.062211

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	Quantum states as observables: Their variance and nonclassicality
	Zhang, Yue 1,2; Luo, Shunlong3,4
	2020-12-17
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	102 期号:6 页码:6
摘要	Two basic ingredients in the quantum formalism are the concepts of states and observables, and apart from the average value (which includes the Born probability as a paramountly important case), the variance is the most fundamental and prominent quantity arising from the coupling of a state and an observable. Given the simplicity and ubiquity of the variance, it seems surprising that we can still exploit the variance to gain conceptually different insight into the quantum substratum. The purpose of the present work is to advocate the following idea: By inputting a general quantum state as the observable in the variance and incorporating a resolution of identity induced by coherent states, we obtain a mathematically simple and physically intuitive method for quantifying nonclassicality. We reveal its fundamental properties and highlight its connection with phase-space quantification of nonclassicality. The idea further suggests a whole family of appealing quantifiers of nonclassicality involving deep mathematical subtlety and an intriguing conjecture with physical significance. Some prototypical examples are worked out to illustrate the concept. This approach of regarding states as observables presents an opportunity for investigating quantum features from an alternative perspective of uncertainty.
DOI	10.1103/PhysRevA.102.062211
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152K51]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000600558000001
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57838
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China 2.Beijing Acad Quantum Informat Sci, Beijing 100193, 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. Quantum states as observables: Their variance and nonclassicality[J]. PHYSICAL REVIEW A,2020,102(6):6.
APA	Zhang, Yue,&Luo, Shunlong.(2020).Quantum states as observables: Their variance and nonclassicality.PHYSICAL REVIEW A,102(6),6.
MLA	Zhang, Yue,et al."Quantum states as observables: Their variance and nonclassicality".PHYSICAL REVIEW A 102.6(2020):6.