Wigner-Yanase skew information and uncertainty relations

doi:10.1103/PhysRevLett.91.180403

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	Wigner-Yanase skew information and uncertainty relations
	Luo, SL
	2003-10-31
发表期刊	PHYSICAL REVIEW LETTERS
ISSN	0031-9007
卷号	91 期号:18 页码:4
摘要	The Wigner-Araki-Yanase theorem puts a limitation on the measurement of observables in the presence of a conserved quantity, and the notion of Wigner-Yanase skew information quantifies the amount of information on the values of observables not commuting with the conserved quantity. We demonstrate that the statistical idea underlying the skew information is the Fisher information in the theory of statistical estimation. A quantum Cramer-Rao inequality and a new uncertainty relation in terms of the skew information are established, which shed considerable new light on the relationships between quantum measurement and statistical inference. The result is applied to estimating the evolution speed of quantum states.
DOI	10.1103/PhysRevLett.91.180403
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000186274800003
出版者	AMERICAN 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/18383
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 100080, Peoples R China 2.Univ Vienna, Inst Expt Phys, A-1090 Vienna, Austria
推荐引用方式 GB/T 7714	Luo, SL. Wigner-Yanase skew information and uncertainty relations[J]. PHYSICAL REVIEW LETTERS,2003,91(18):4.
APA	Luo, SL.(2003).Wigner-Yanase skew information and uncertainty relations.PHYSICAL REVIEW LETTERS,91(18),4.
MLA	Luo, SL."Wigner-Yanase skew information and uncertainty relations".PHYSICAL REVIEW LETTERS 91.18(2003):4.