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Article

GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality

1
Department of Physics, Ben-Gurion University of the Negev, Beersheba 84105, Israel
2
Program in the History and Philosophy of Science, The Hebrew University of Jerusalem, Jerusalem 91905, Israel
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(6), 478; https://doi.org/10.3390/e20060478
Received: 21 March 2018 / Revised: 6 June 2018 / Accepted: 6 June 2018 / Published: 20 June 2018
(This article belongs to the Special Issue Quantum Nonlocality)
We review an argument that bipartite “PR-box” correlations, though designed to respect relativistic causality, in fact violate relativistic causality in the classical limit. As a test of this argument, we consider Greenberger–Horne–Zeilinger (GHZ) correlations as a tripartite version of PR-box correlations, and ask whether the argument extends to GHZ correlations. If it does—i.e., if it shows that GHZ correlations violate relativistic causality in the classical limit—then the argument must be incorrect (since GHZ correlations do respect relativistic causality in the classical limit.) However, we find that the argument does not extend to GHZ correlations. 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. View Full-Text
Keywords: axioms for quantum theory; PR box; nonlocal correlations; classical limit; retrocausality axioms for quantum theory; PR box; nonlocal correlations; classical limit; retrocausality
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MDPI and ACS Style

Rohrlich, D.; Hetzroni, G. GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality. Entropy 2018, 20, 478. https://doi.org/10.3390/e20060478

AMA Style

Rohrlich D, Hetzroni G. GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality. Entropy. 2018; 20(6):478. https://doi.org/10.3390/e20060478

Chicago/Turabian Style

Rohrlich, Daniel, and Guy Hetzroni. 2018. "GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality" Entropy 20, no. 6: 478. https://doi.org/10.3390/e20060478

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