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Open AccessArticle

Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum

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Department of Physics, Elizabethtown College, Elizabethtown, PA 17022, USA
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Department of Philosophy, Elizabethtown College, Elizabethtown, PA 17022, USA
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Department of Philosophy, University of Maryland, College Park, MD 20742, USA
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Department of Mathematical Sciences, Elizabethtown College, Elizabethtown, PA 17022, USA
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Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 692; https://doi.org/10.3390/e21070692
Received: 30 June 2019 / Revised: 7 July 2019 / Accepted: 12 July 2019 / Published: 15 July 2019
(This article belongs to the Section Quantum Information)
To answer Wheeler’s question “Why the quantum?” via quantum information theory according to Bub, one must explain both why the world is quantum rather than classical and why the world is quantum rather than superquantum, i.e., “Why the Tsirelson bound?” We show that the quantum correlations and quantum states corresponding to the Bell basis states, which uniquely produce the Tsirelson bound for the Clauser–Horne–Shimony–Holt (CHSH) quantity, can be derived from conservation per no preferred reference frame (NPRF). A reference frame in this context is defined by a measurement configuration, just as with the light postulate of special relativity. We therefore argue that the Tsirelson bound is ultimately based on NPRF just as the postulates of special relativity. This constraint-based/principle answer to Bub’s question addresses Fuchs’ desideratum that we “take the structure of quantum theory and change it from this very overt mathematical speak ... into something like [special relativity].” Thus, the answer to Bub’s question per Fuchs’ desideratum is, “the Tsirelson bound obtains due to conservation per NPRF”. View Full-Text
Keywords: Tsirelson bound; Bell–CHSH inequality; superquantum correlations; quantum information theory Tsirelson bound; Bell–CHSH inequality; superquantum correlations; quantum information theory
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Stuckey, W.; Silberstein, M.; McDevitt, T.; Kohler, I. Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum. Entropy 2019, 21, 692.

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