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Quantum Fisher information and uncertainty relations
Luo, SL
2000-08-01
Source PublicationLETTERS IN MATHEMATICAL PHYSICS
ISSN0377-9017
Volume53Issue:3Pages:243-251
AbstractIt 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.
Keywordvon Neumann equation quantum Fisher information quantum measurement uncertainty relations
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000166273200006
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:58[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15824
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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