New entropic uncertainty relations for prime power dimensions
Quantum Physics
2011-10-03 v1 Information Theory
math.IT
Abstract
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.
Cite
@article{arxiv.1109.6757,
title = {New entropic uncertainty relations for prime power dimensions},
author = {Jakob Funder},
journal= {arXiv preprint arXiv:1109.6757},
year = {2011}
}
Comments
26 pages, 2 figures