Heisenberg's uncertainty principle for simultaneous measurement of positive-operator-valued measures

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dc.creatorMiyadera, Takayuki
dc.creatorImai, Hideki
dc.date2008-09-10
dc.date2008-11-22
dc.date.accessioned2026-07-07T12:06:00Z
dc.date.available2026-07-07T12:06:00Z
dc.descriptionA limitation on simultaneous measurement of two arbitrary positive operator valued measures is discussed. In general, simultaneous measurement of two noncommutative observables is only approximately possible. Following Werner's formulation, we introduce a distance between observables to quantify an accuracy of measurement. We derive an inequality that relates the achievable accuracy with noncommutativity between two observables. As a byproduct a necessary condition for two positive operator valued measures to be simultaneously measurable is obtained.
dc.description7 pages, 1 figure. To appear in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0809.1714
dc.identifierhttp://arxiv.org/abs/0809.1714
dc.identifierPhys. Rev. A 78, 052119 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.052119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208532
dc.subjectQuantum Physics
dc.titleHeisenberg's uncertainty principle for simultaneous measurement of positive-operator-valued measures
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