Impossibility of memory in hidden-signaling models for quantum correlations
Ignacio Perito, Guido Bellomo, Daniel Galicer, Santiago Figueira,, Augusto J. Roncaglia, and Ariel Bendersky

TL;DR
This paper demonstrates that hidden-signaling models with memory enable faster-than-light communication, providing evidence against hidden signaling as the explanation for quantum non-local correlations.
Contribution
It proves that hidden-signaling models with memory cannot reproduce quantum correlations without enabling superluminal communication.
Findings
Hidden-signaling models with memory allow message transmission faster than light.
Memory in such models leads to contradictions with relativity.
Results challenge hidden signaling as a basis for quantum non-locality.
Abstract
We consider a toy model for non-local quantum correlations in which nature resorts to some form of hidden signaling (i.e., signaling between boxes but not available to the users) to generate correlations. We show that if such a model also had memory, the parties would be able to exploit the hidden-signaling and use it to send a message, achieving faster-than-light communication. Given that memory is a resource easily available for any physical system, our results add evidence against hidden signaling as the mechanism behind nature's non-local behavior
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