Generalized Landau-Pollak Uncertainty Relation

Details Generalized Landau-Pollak Uncertainty Relation Generalized Landau-Pollak Uncertainty Relation

2007-07-30

arxiv.org/abs/0707.4450v3

Phys. Rev. A 76, 062108 (2007)

Physics

Quantum Physics

Simplified the proofs. To be published in Phys.Rev.A

Scientific paper

10.1103/PhysRevA.76.062108

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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