arXiv:0809.1714 [quant-ph]AbstractReferencesReviewsResources
Heisenberg's uncertainty principle for simultaneous measurement of positive-operator-valued measures
Takayuki Miyadera, Hideki Imai
Published 2008-09-10, updated 2008-11-22Version 3
A 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.
Comments: 7 pages, 1 figure. To appear in Phys. Rev. A
Journal: Phys. Rev. A 78, 052119 (2008)
Categories: quant-ph
Keywords: heisenbergs uncertainty principle, simultaneous measurement, positive-operator-valued measures, observables, arbitrary positive operator valued measures
Tags: journal article
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