Covariant quantum measurements which maximize the likelihood

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dc.creatorChiribella, Giulio
dc.creatorD'Ariano, Giacomo Mauro
dc.creatorPerinotti, Paolo
dc.creatorSacchi, Massimiliano Federico
dc.date2004-03-10
dc.date.accessioned2026-07-07T07:52:41Z
dc.date.available2026-07-07T07:52:41Z
dc.descriptionWe derive the class of covariant measurements which are optimal according to the maximum likelihood criterion. The optimization problem is 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. The general result is applied to the case of covariant state estimation for finite dimension, and to the Weyl-Heisenberg displacement estimation in infinite dimension. We also consider estimation with multiple copies, and compare collective measurements on identical copies with the scheme of independent measurements on each copy. A "continuous-variables" analogue of the measurement of direction of the angular momentum with two anti-parallel spins by Gisin and Popescu is given.
dc.description8 pages, RevTex style, submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0403083
dc.identifierhttp://arxiv.org/abs/quant-ph/0403083
dc.identifierPhys. Rev. A 70, 062105 (2004)
dc.identifierdoi:10.1103/PhysRevA.70.062105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125969
dc.subjectQuantum Physics
dc.titleCovariant quantum measurements which maximize the likelihood
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