A separable, dynamically local ontological model of quantum mechanics

TL;DR

This paper presents a novel ontological model of quantum mechanics that is both separable and dynamically local, addressing a key question about the compatibility of these properties within quantum theory.

Contribution

It introduces a new ontological model based on Deutsch and Hayden's work that satisfies both separability and dynamical locality, unlike previous models.

Findings

The model reproduces quantum predictions without violating dynamical locality.

It can be framed within ontological models where Bell's theorem applies.

The model violates local causality but maintains separability and dynamical locality.

Abstract

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