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Article: Extremal covariant measurements
Title | Extremal covariant measurements |
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Authors | |
Issue Date | 2006 |
Publisher | American Institute of Physics. The Journal's web site is located at https://aip.scitation.org/journal/jmp |
Citation | Journal of Mathematical Physics, 2006, v. 47 n. 9, article no. 092107 How to Cite? |
Abstract | We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non transitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information. © 2006 American Institute of Physics. |
Persistent Identifier | http://hdl.handle.net/10722/212881 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.569 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chiribella, Giulio | - |
dc.contributor.author | D'Ariano, Giacomo Mauro | - |
dc.date.accessioned | 2015-07-28T04:05:19Z | - |
dc.date.available | 2015-07-28T04:05:19Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Journal of Mathematical Physics, 2006, v. 47 n. 9, article no. 092107 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | http://hdl.handle.net/10722/212881 | - |
dc.description.abstract | We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non transitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information. © 2006 American Institute of Physics. | - |
dc.language | eng | - |
dc.publisher | American Institute of Physics. The Journal's web site is located at https://aip.scitation.org/journal/jmp | - |
dc.relation.ispartof | Journal of Mathematical Physics | - |
dc.title | Extremal covariant measurements | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1063/1.2349481 | - |
dc.identifier.scopus | eid_2-s2.0-33749349009 | - |
dc.identifier.volume | 47 | - |
dc.identifier.issue | 9 | - |
dc.identifier.spage | article no. 092107 | - |
dc.identifier.epage | article no. 092107 | - |
dc.identifier.isi | WOS:000240877500007 | - |
dc.identifier.issnl | 0022-2488 | - |