# Topological proofs of contextuality in quantum mechanics

## TL;DR

This paper introduces a cohomological framework to analyze quantum contextuality, unifying various proofs and highlighting its role as a resource in measurement-based quantum computation.

## Contribution

It develops a topological approach to quantum contextuality applicable to both state-dependent and state-independent cases, encompassing parity and symmetry-based proofs.

## Key findings

- Provides a unified topological framework for contextuality proofs
- Applies to both state-dependent and state-independent contextuality
- Highlights the role of topological methods in quantum computation

## Abstract

We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.