New entropic uncertainty relations for prime power dimensions

Jakob Funder

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arXiv · 1109.6757

New entropic uncertainty relations for prime power dimensions

Jakob Funder

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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.

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Jakob Funder. 2011-09-30. New entropic uncertainty relations for prime power dimensions. https://arxiv.org/abs/1109.6757

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