Generalized Landau-Pollak Uncertainty Relation
Quantum Physics
2008-10-30 v3
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.
Keywords
Cite
@article{arxiv.0707.4450,
title = {Generalized Landau-Pollak Uncertainty Relation},
author = {Takayuki Miyadera and Hideki Imai},
journal= {arXiv preprint arXiv:0707.4450},
year = {2008}
}
Comments
Simplified the proofs. To be published in Phys.Rev.A