Quantum Fisher information and uncertainty relations

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	Quantum Fisher information and uncertainty relations
	Luo, SL
	2000-08-01
发表期刊	LETTERS IN MATHEMATICAL PHYSICS
ISSN	0377-9017
卷号	53 期号:3 页码:243-251
摘要	It is well known that the Cramer-Rao inequality places a lower bound for quantum Fisher information in terms of the variance of any quantum measurement. We establish an upper bound for quantum Fisher information of a parameterized family of density operators in terms of the variance of the generator. These two bounds together yield a generalization of the Heisenberg uncertainty relations from statistical estimation perspective.
关键词	von Neumann equation quantum Fisher information quantum measurement uncertainty relations
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000166273200006
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15824
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, SL. Quantum Fisher information and uncertainty relations[J]. LETTERS IN MATHEMATICAL PHYSICS,2000,53(3):243-251.
APA	Luo, SL.(2000).Quantum Fisher information and uncertainty relations.LETTERS IN MATHEMATICAL PHYSICS,53(3),243-251.
MLA	Luo, SL."Quantum Fisher information and uncertainty relations".LETTERS IN MATHEMATICAL PHYSICS 53.3(2000):243-251.