title: Maximally epistemic interpretations of the quantum state and contextuality.
abstract: We examine the relationship between quantum contextuality (in both the standard Kochen-Specker sense and in the generalized sense proposed by Spekkens) and models of quantum theory in which the quantum state is maximally epistemic. We find that preparation noncontextual models must be maximally epistemic, and these in turn must be Kochen-Specker noncontextual. This implies that the Kochen-Specker theorem is sufficient to establish both the impossibility of maximally epistemic models and the impossibility of preparation noncontextual models. The implication from preparation noncontextual to maximally epistemic then also yields a proof of Bell's theorem from an Einstein-Podolsky-Rosen-like argument.
authors.affiliation: Faculty of Philosophy, University of Oxford, 10 Merton Street, Oxford, OX1 4JJ, United Kingdom.
authors.forename: M S
authors.initials: MS
authors.lastname: Leifer
authors.affiliation: Faculty of Philosophy, University of Oxford, 10 Merton Street, Oxford, OX1 4JJ, United Kingdom.
authors.forename: O J E
authors.initials: OJ
authors.lastname: Maroney