Generalized Landau-Pollak Uncertainty Relation

dc.creatorMiyadera, Takayuki
dc.creatorImai, Hideki
dc.date2007-07-30
dc.date2007-11-01
dc.date.accessioned2026-07-07T10:13:43Z
dc.date.available2026-07-07T10:13:43Z
dc.descriptionThe Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values. We give a generalization of this bound (weak version of the Landau-Pollak uncertainty relation). Our generalization covers a pair of positive operator valued measures. A nontrivial but slightly weak inequality that can treat an arbitrary number of positive operator valued measures is also presented.
dc.descriptionSimplified the proofs. To be published in Phys.Rev.A
dc.identifierhttps://arxiv.org/abs/0707.4450
dc.identifierhttp://arxiv.org/abs/0707.4450
dc.identifierPhys. Rev. A 76, 062108 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.062108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172630
dc.subjectQuantum Physics
dc.titleGeneralized Landau-Pollak Uncertainty Relation
dc.typetext

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