Quantifying nonclassicality via Wigner-Yanase skew information

doi:10.1103/PhysRevA.100.032116

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	Quantifying nonclassicality via Wigner-Yanase skew information
	Luo, Shunlong1 ; Zhang, Yue
刊名	PHYSICAL REVIEW A
	2019-09-18
卷号	100 期号:3 页码:8
ISSN号	2469-9926
DOI	10.1103/PhysRevA.100.032116
英文摘要	Identifying the classical-quantum divide and quantifying nonclassicality (quantumness) are fundamental issues in quantum exploration. By use of the Wigner-Yanase skew information [E. P. Wigner and M. M. Yanase, Proc. Natl. Acad. Sci. USA 49, 910 (1963)], which is a version of quantum Fisher information with a well-established interpretation as quantum uncertainty, we introduce a simple and effective quantifier for nonclassicality of bosonic field states. This is achieved by simultaneously yet approximately measuring the canonical conjugate quadrature pair (equivalently, measuring the non-Hermitian annihilation operator in a generalized sense) from an information-theoretic perspective. This quantifier, apart from capturing the idea of nonclassicality as quantum uncertainty in a succinct way, is mathematically computable, physically intuitive, and possesses operational significance. We reveal its fundamental properties and illustrate its physical applications in quantifying nonclassicality of light. We compare it with various existent quantifiers for nonclassicality and illustrate its merits. A related quantifier for classicality, which is in some sense dual to nonclassicality, is also introduced. This pair of classicality and nonclassicality provides insight into the classical-quantum interplay.
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
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000486624300005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35696]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Zhang, Yue. Quantifying nonclassicality via Wigner-Yanase skew information[J]. PHYSICAL REVIEW A,2019,100(3):8.
APA	Luo, Shunlong,&Zhang, Yue.(2019).Quantifying nonclassicality via Wigner-Yanase skew information.PHYSICAL REVIEW A,100(3),8.
MLA	Luo, Shunlong,et al."Quantifying nonclassicality via Wigner-Yanase skew information".PHYSICAL REVIEW A 100.3(2019):8.