Quantum versus classical uncertainty

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	Quantum versus classical uncertainty
	Luo, SL
	2005-05-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	143 期号:2 页码:681-688
摘要	The uncertainty of an observable in a quantum state is usually described by variance. This description is well suited when the states are pure. But when the states are mixed, things become subtle, and the variance is a hybrid of quantum and classical uncertainties. Motivated by the notion of Fisher information in statistical inference, we establish a decomposition of the variance into quantum and classical parts. The key observation is that the Wigner-Yanase skew information (a distinguished version of quantum Fisher information) can be interpreted as a measure of quantum uncertainty. We also establish a decomposition of the conventional covariance into quantum and classical parts. The results provide a new perspective for understanding uncertainty and correlation and are used to quantify entanglement, as well as to establish a new uncertainty relation in purely quantum terms.
关键词	uncertainty classical uncertainty quantum uncertainty skew information quantum correlation entanglement uncertainty principle
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000229686400004
出版者	CONSULTANTS BUREAU/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/1933
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
推荐引用方式 GB/T 7714	Luo, SL. Quantum versus classical uncertainty[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2005,143(2):681-688.
APA	Luo, SL.(2005).Quantum versus classical uncertainty.THEORETICAL AND MATHEMATICAL PHYSICS,143(2),681-688.
MLA	Luo, SL."Quantum versus classical uncertainty".THEORETICAL AND MATHEMATICAL PHYSICS 143.2(2005):681-688.