Generalized Landau-Pollak Uncertainty Relation

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.

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

Cited by in corpus (1)

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