%0 Journal Article
%T New entropic uncertainty relations for prime power dimensions
%A Jakob Funder
%J Mathematics
%D 2011
%I arXiv
%X We consider the question of entropic uncertainty relations for prime power dimensions. In order to improve upon such uncertainty relations for higher dimensional quantum systems, we derive a tight lower bound amount of entropy for multiple probability distributions under the constraint that the sum of the collision probabilities for all distributions is fixed. This is purely a classical information theoretical result, however using an interesting result by Larsen \cite{Larsen90} allows us to connect this to an entropic uncertainty relation.
%U http://arxiv.org/abs/1109.6757v1