Entropic uncertainty relations in multidimensional position and momentum spaces
Quantum Physics
2021-08-02 v2
Abstract
Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. They provide optimal lower bounds and imply the multidimensional variance-based uncertainty principle. The article concludes with an open conjecture.
Cite
@article{arxiv.1101.2944,
title = {Entropic uncertainty relations in multidimensional position and momentum spaces},
author = {Yichen Huang},
journal= {arXiv preprint arXiv:1101.2944},
year = {2021}
}
Comments
v2: close to the published version