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Article: Covariant quantum measurements that maximize the likelihood

TitleCovariant quantum measurements that maximize the likelihood
Authors
Issue Date2004
Citation
Physical Review A - Atomic, Molecular, and Optical Physics, 2004, v. 70, n. 6, p. 062105-1-062105-8 How to Cite?
AbstractThe class of measurements of covariant parameters were derived that are optimal according to the maximum likelihood criterion. The optimization problem was fully resolved in the case of pure input states, under the physically meaningful hypotheses of unimodularity of the covariance group and measurability of the stability subgroup. Some useful mathematical identities for group integrals were derived that are then used to algebraically characterize covariant measurements. It is concluded that the optimal covariant estimation for mixed input states is still an open problem, and an explicit analytical optimization seems a very difficult task.
Persistent Identifierhttp://hdl.handle.net/10722/212954
ISSN
2014 Impact Factor: 2.808
2015 SCImago Journal Rankings: 1.418
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.accessioned2015-07-28T04:05:34Z-
dc.date.available2015-07-28T04:05:34Z-
dc.date.issued2004-
dc.identifier.citationPhysical Review A - Atomic, Molecular, and Optical Physics, 2004, v. 70, n. 6, p. 062105-1-062105-8-
dc.identifier.issn1050-2947-
dc.identifier.urihttp://hdl.handle.net/10722/212954-
dc.description.abstractThe class of measurements of covariant parameters were derived that are optimal according to the maximum likelihood criterion. The optimization problem was fully resolved in the case of pure input states, under the physically meaningful hypotheses of unimodularity of the covariance group and measurability of the stability subgroup. Some useful mathematical identities for group integrals were derived that are then used to algebraically characterize covariant measurements. It is concluded that the optimal covariant estimation for mixed input states is still an open problem, and an explicit analytical optimization seems a very difficult task.-
dc.languageeng-
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics-
dc.titleCovariant quantum measurements that maximize the likelihood-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevA.70.062105-
dc.identifier.scopuseid_2-s2.0-37649029654-
dc.identifier.volume70-
dc.identifier.issue6-
dc.identifier.spage062105-
dc.identifier.epage1-
dc.identifier.eissn1094-1622-
dc.identifier.isiWOS:000226418900022-

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