The Entropy Region is not Closed Under Duality

Abstract

We import a duality notion coming from polymatroids to define duality for information inequalities. We show that the entropy region for n ≥ 5 is not closed under duality. Our result answers an open question of Matùš [13] (1992).

Cite this paper

@article{Kaced2016TheER, title={The Entropy Region is not Closed Under Duality}, author={Tarik Kaced}, journal={CoRR}, year={2016}, volume={abs/1611.04109} }