PR-box correlations have no classical limit

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

8 Scopus citations

Abstract

One of Yakir Aharonov“s endlessly captivating physics ideas is the conjecture that two axioms, namely relativistic causality (“no superluminal signalling”) and nonlocality, so nearly contradict each other that a unique theory-quantum mechanics-reconciles them. But superquantum (or “PR-box”) correlations imply that quantum mechanics is not the most nonlocal theory (in the sense of nonlocal correlations) consistent with relativistic causality. Let us consider supplementing these two axioms with a minimal third axiom: there exists a classical limit in which macroscopic observables commute. That is, just as quantum mechanics has a classical limit, so must any generalization of quantum mechanics. In this classical limit, PR-box correlations violate relativistic causality. Generalized to all strongerthan- quantum bipartite correlations, this result is a derivation of Tsirelson“s bound without assuming quantum mechanics. [Editors note: for a video of the talk given by Dr. Rohrlich at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-10.]

Original languageEnglish
Title of host publicationQuantum Theory
Subtitle of host publicationA Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy
EditorsDaniele C. Struppa, Jeffrey M. Tollaksen
PublisherSpringer-Verlag Milan
Pages205-211
Number of pages7
ISBN (Electronic)9788847052178
ISBN (Print)9788847052161
DOIs
StatePublished - 1 Jan 2014

ASJC Scopus subject areas

  • General Physics and Astronomy

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