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The many mathematical faces of Mermin's proof of the Kochen-Specker theorem

Published 3 Nov 2015 in quant-ph, math-ph, and math.MP | (1511.00950v1)

Abstract: Mermin's simple "pentagram" proof of the Kochen-Specker theorem is examined from various perspectives. We emphasise the many mathematical structures intimately related to Kochen-Specker proofs, ranging through functional analysis, sheaf theory and topos theory, Coxeter groups and algebraic geometry. Some novel results are presented along the way.

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