GHZ states as tripartite PR boxes: Classical limit and retrocausality

Daniel Rohrlich, Guy Hetzroni

Research output: Contribution to journalArticleAcademicpeer-review

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.
Original languageEnglish
JournalEntropy
Volume20
Issue number6
DOIs
Publication statusPublished - 1 Jun 2018
Externally publishedYes

Keywords

  • Axioms for quantum theory
  • Classical limit
  • Nonlocal correlations
  • PR box
  • Retrocausality

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