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Wigner-Yanase skew information and uncertainty relations.
MedLine Citation:
PMID:  14611271     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
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 Cramér-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.
Authors:
Shunlong Luo
Publication Detail:
Type:  Journal Article     Date:  2003-10-29
Journal Detail:
Title:  Physical review letters     Volume:  91     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2003 Oct 
Date Detail:
Created Date:  2003-11-12     Completed Date:  2003-12-23     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  180403     Citation Subset:  -    
Affiliation:
Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080 Beijing, People's Republic of China. luosl@mail.amt.ac.cn
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