GHZ States as Tripartite PR Boxes: Classical Limit and Retrocausality

Entropy 20 (6):478 (2018)
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Abstract

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.

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Guy Hetzroni
The Open University of Israel

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Events and processes in the quantum world.Abner Shimony - 1986 - In Roger Penrose & C. J. Isham (eds.), Quantum Concepts in Space and Time. New York ;Oxford University Press. pp. 182--203.
Quantum nonlocality as an axiom.Sandu Popescu & Daniel Rohrlich - 1994 - Foundations of Physics 24 (3):379-385.
Three attempts at two axioms for quantum mechanics.Daniel Rohrlich - 2012 - In Yemima Ben-Menahem & Meir Hemmo (eds.), Probability in Physics. Springer. pp. 187--200.

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