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

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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.
7 pages, 1 figure. To appear in Phys. Rev. A

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/208532

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1714
 http://arxiv.org/abs/0809.1714
 Phys. Rev. A 78, 052119 (2008)
 doi:10.1103/PhysRevA.78.052119

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arXiv