New entropic uncertainty relations for prime power dimensions

Details New entropic uncertainty relations for prime power dimensions New entropic uncertainty relations for prime power dimensions

2011-09-30

arxiv.org/abs/1109.6757v1

Physics

Quantum Physics

26 pages, 2 figures

Scientific paper

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.

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