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arXiv · 0707.4450

Generalized Landau-Pollak Uncertainty Relation

Takayuki Miyadera·Hideki Imai
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Abstract

The 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.

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Takayuki Miyadera, Hideki Imai. 2007-11-01. Generalized Landau-Pollak Uncertainty Relation. https://doi.org/10.1103/physreva.76.062108

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