The two fundamental ‘no go’ theorems for hidden variable reconstructions of the ► quantum statistics, the ► Kochen-Specker theorem [4] and ► Bell's theorem [1], can be formulated as results about the impossibility of associating a classical probability space (X,F, P ρ) with a quantum system in the state ρ, when certain constraints are placed on the probability measure P ρ. The Bub-Clifton theorem [2,3], by contrast, is a ‘go’ theorem: a positive result about the possibility of associating a classical probability space with a quantum system in a given state.
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Bub, J. (2009). Bub—Clifton Theorem. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_25
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