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A model of reality is called separable if the state of a composite system isequal to the union of the states of its parts, located in different regions ofspace. Spekkens has argued that it is trivial to reproduce the predictions ofquantum mechanics using a separable ontological model, provided one allows forarbitrary violations of `dynamical locality'. However, since dynamical localityis strictly weaker than local causality, this leaves open the question ofwhether an ontological model for quantum mechanics can be both separable anddynamically local. We answer this question in the affirmative, using anontological model based on previous work by Deutsch and Hayden. Although theoriginal formulation of the model avoids Bell's theorem by denying thatmeasurements result in single, definite outcomes, we show that the model canalternatively be cast in the framework of ontological models, where Bell'stheorem does apply. We find that the resulting model violates local causality,but satisfies both separability and dynamical locality, making it a candidatefor the `most local' ontological model of quantum mechanics.

A separable, dynamically local ontological model of quantum mechanics