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PR-box correlations have no classical limit

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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.]

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Daniel, R. (2014). PR-box correlations have no classical limit. In Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy (pp. 205–211). Springer-Verlag Milan. https://doi.org/10.1007/978-88-470-5217-8_13

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