Rationalization of EPR Coincidence Experiments

TL;DR

This paper demonstrates that the singlet state in EPR experiments can be decomposed into separable states, challenging the common interpretation that Bell violations exclude local hidden variable explanations.

Contribution

It introduces a novel decomposition of the singlet density matrix into separable, non-hermitian states and proposes a local hidden variable model based on this.

Findings

Decomposition of singlet state into separable components.

Consistency of non-hermitian states with real observable values.

Proposal of a local hidden variable model compatible with the decomposition.

Abstract

Coincidence experiments on EPR pairs show strong violations of Bell's Inequalities at certain filter settings which is widely believed to mean that local hidden variable models cannot explain these results. In this paper it is shown that the 'non-separable' singlet density matrix can be represented as a sum of separable density matrices which are products of individual non-hermitian spin operator states. This decomposition is consistent with the intuitive notion that after separation from the singlet the two physical systems should be described by a product state. In spite of the non-hermiticity, the values of the relevant spin observables are real. A new local hidden variable model inspired by this decomposition is discussed.