English

GHZ states and PR boxes in the classical limit

Quantum Physics 2018-07-17 v1

Abstract

A recent paper [1] argues that bipartite "PR-box" correlations, though designed to respect relativistic causality, in fact violate relativistic causality in the classical limit. As a test of Ref. [1], we consider GHZ correlations as a tripartite version of PR-box correlations, and ask whether the arguments of Ref. [1] extend to GHZ correlations. If they do - i.e. if they show that GHZ correlations violate relativistic causality in the classical limit - then Ref. [1] must be incorrect, since GHZ correlations are quantum correlations and respect relativistic causality. But the arguments fail. We also show that both PR-box correlations and GHZ correlations can be retrocausal, but the retrocausality of PR-box correlations leads to self-contradictory causal loops, while the retrocausality of GHZ correlations does not.

Cite

@article{arxiv.1606.04274,
  title  = {GHZ states and PR boxes in the classical limit},
  author = {Daniel Rohrlich and Guy Hetzroni},
  journal= {arXiv preprint arXiv:1606.04274},
  year   = {2018}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-22T14:24:45.644Z