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.
- Received 11 November 2010
DOI:https://doi.org/10.1103/PhysRevA.83.052124
©2011 American Physical Society