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Article: Maximum likelihood estimation for a group of physical transformations

TitleMaximum likelihood estimation for a group of physical transformations
Authors
KeywordsEntanglement
Group covariance
Quantum estimation
Issue Date2006
Citation
International Journal of Quantum Information, 2006, v. 4, n. 3, p. 453-472 How to Cite?
AbstractThe maximum likelihood strategy for the estimation of group parameters allows one to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide deep insight into the general structure underlying optimal quantum estimation strategies. The entanglement between representation spaces and multiplicity spaces of the group action appears to be the unique kind of entanglement which is really useful for the optimal estimation of group parameters. © World Scientific Publishing Company.
Persistent Identifierhttp://hdl.handle.net/10722/212871
ISSN
2015 Impact Factor: 0.701
2015 SCImago Journal Rankings: 0.304
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, Giulio-
dc.contributor.authorD'Ariano, Giacomo Mauro-
dc.contributor.authorPerinotti, Paolo-
dc.contributor.authorSacchi, Massimiliano F.-
dc.date.accessioned2015-07-28T04:05:17Z-
dc.date.available2015-07-28T04:05:17Z-
dc.date.issued2006-
dc.identifier.citationInternational Journal of Quantum Information, 2006, v. 4, n. 3, p. 453-472-
dc.identifier.issn0219-7499-
dc.identifier.urihttp://hdl.handle.net/10722/212871-
dc.description.abstractThe maximum likelihood strategy for the estimation of group parameters allows one to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide deep insight into the general structure underlying optimal quantum estimation strategies. The entanglement between representation spaces and multiplicity spaces of the group action appears to be the unique kind of entanglement which is really useful for the optimal estimation of group parameters. © World Scientific Publishing Company.-
dc.languageeng-
dc.relation.ispartofInternational Journal of Quantum Information-
dc.subjectEntanglement-
dc.subjectGroup covariance-
dc.subjectQuantum estimation-
dc.titleMaximum likelihood estimation for a group of physical transformations-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1142/S0219749906002018-
dc.identifier.scopuseid_2-s2.0-33746356521-
dc.identifier.volume4-
dc.identifier.issue3-
dc.identifier.spage453-
dc.identifier.epage472-
dc.identifier.isiWOS:000239645700008-

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