Towards a complete cohomology invariant for non-locality and contextuality
Abstract
The sheaf theoretic description of non-locality and contextuality by Abramsky and Brandenburger sets the ground for a topological study of these peculiar features of quantum mechanics. This viewpoint has been recently developed thanks to sheaf cohomology, which provides a sufficient condition for contextuality of empirical models in quantum mechanics and beyond. Subsequently, a number of studies proposed methods to detect contextuality based on different cohomology theories. However, none of these cohomological descriptions succeeds in giving a full invariant for contextuality applicable to concrete examples. In the present work, we introduce a cohomology invariant for possibilistic and strong contextuality which is applicable to the vast majority of empirical models.
Keywords
Cite
@article{arxiv.1807.04203,
title = {Towards a complete cohomology invariant for non-locality and contextuality},
author = {Giovanni Carù},
journal= {arXiv preprint arXiv:1807.04203},
year = {2018}
}
Comments
46 pages, 25 figures