ON COVARIANCE AND QUANTUM FISHER INFORMATION

doi:10.1137/S0040585X9798364X

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	ON COVARIANCE AND QUANTUM FISHER INFORMATION
	Luo, S.
	2009
发表期刊	THEORY OF PROBABILITY AND ITS APPLICATIONS
ISSN	0040-585X
卷号	53 期号:2 页码:329-U151
摘要	For a quantum state and a set of observables, we can construct an associated covariance matrix and a natural quantum Fisher information matrix. These two matrices characterize the uncertainty and information content of the observables in the relevant state. An inequality between these two matrices is established. This inequality may be interpreted as a general quantification of the Heisenberg uncertainty principle from a statistical estimation perspective. In particular, it implies a new uncertainty relation which refines the celebrated Schrodinger uncertainty relation.
关键词	covariance quantum Fisher information uncertainty relations determinant
DOI	10.1137/S0040585X9798364X
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000267617600011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7249
专题	应用数学研究所
通讯作者	Luo, S.
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, S.. ON COVARIANCE AND QUANTUM FISHER INFORMATION[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS,2009,53(2):329-U151.
APA	Luo, S..(2009).ON COVARIANCE AND QUANTUM FISHER INFORMATION.THEORY OF PROBABILITY AND ITS APPLICATIONS,53(2),329-U151.
MLA	Luo, S.."ON COVARIANCE AND QUANTUM FISHER INFORMATION".THEORY OF PROBABILITY AND ITS APPLICATIONS 53.2(2009):329-U151.