Reproducing EPR correlations without superluminal signalling: backward conditional probabilities and Statistical Independence

Abstract

Bell's theorem states that no model that respects Local Causality and Statistical Independence can account for the correlations predicted by quantum mechanics via entangled states. This paper proposes a new approach, using backward-in-time conditional probabilities, which relaxes conventional assumptions of temporal ordering while preserving Statistical Independence as a "fine-tuning condition. It is shown how such models can account for EPR/Bell correlations and, analogously, the GHZ predictions while nevertheless forbidding superluminal signalling.

6 pages, 3 figures

References in corpus (4)

• Einstein, incompleteness, and the epistemic view of quantum states
• The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
• Quantum causal models, faithfulness and retrocausality
• Time evolution with symmetric stochastic action

Cited by in corpus (1)

• Forward-backward stochastic simulations: Q-based model for measurement and Bell-nonlocality consistent with weak local realistic premises