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Wigner-Yanase skew information and uncertainty relations
Luo, SL
2003-10-31
Source PublicationPHYSICAL REVIEW LETTERS
ISSN0031-9007
Volume91Issue:18Pages:4
AbstractThe 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.
DOI10.1103/PhysRevLett.91.180403
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000186274800003
PublisherAMERICAN PHYSICAL SOC
Citation statistics
Cited Times:158[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18383
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Univ Vienna, Inst Expt Phys, A-1090 Vienna, Austria
Recommended Citation
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.
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