Towards a complete cohomology invariant for non-locality and contextuality

Understand

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.