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The Topology of Contextuality

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Contextuality is a key feature of quantum mechanics that provides an important non-classical resource for quantum information and computation. Recently, Abramsky and Brandenburger have used sheaf theory to give a unified treatment of contextuality in quantum theory, subsuming no-go results such as Bell-type non-locality and the Hardy paradox. We can use this approach to show how an important class of contextuality arguments has a topological origin. More specifically, we show that ‘all-vs-nothing’ proofs of contextuality, such as the well-known Mermin-GHZ argument, are witnessed by cohomological obstructions.

This talk is part of the CQIF Seminar series.

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