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arxiv: 1511.00950 · v1 · pith:XHMNKYWRnew · submitted 2015-11-03 · 🪐 quant-ph · math-ph· math.MP

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

classification 🪐 quant-ph math-phmath.MP
keywords kochen-speckermanymathematicalmerminprooftheoremtheoryalgebraic
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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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