Topological proofs of contextuality in quantum mechanics

Understand

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.