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Volume 33: Pages 140-142, 2020
Why superquantum, no-signaling correlations cannot exist
Pierre Uzana)
Laboratory SPHERE, Philosophy of Science, University Paris-Diderot, Building Condorcet, Case 7093, 5 rue Thomas Mann, 75205 Paris Cedex 13, France
The idea that nonlocal correlations stronger than quantum correlations between two no-signaling systems could “theoretically” exist is based on an incorrect statistical interpretation of the no-signaling condition. This article shows that any physically realizable no-signaling “box” involving local incompatible observables indeed requires to be described in a noncommutative, quantum-like language of operators, which leads to the derivation of the Tsirelson bound and then contradicts this idea.
L’idée selon laquelle des corrélations non-locales plus fortes que les corrélations quantiques entre deux systèmes ne pouvant échanger d’information sont “théoriquement” possibles est fondée sur une interprétation incorrecte de cette dernière condition de “no-signaling”. Cet article montre que tout dispositif physique donnant lieu à des corrélations non-locales et où des observables locales incompatibles peuvent être définies nécessite d’être décrit dans un langage non-commutatif d’opérateurs –ce qui mène à la dérivation de la borne de Tsirelson et contredit ainsi cette idée.
Key words: Superquantum Correlations; No-Signaling; Tsirelson Bound; PR-Boxes; Noncommutative Language of Operators.
Received: February 10, 2020; Accepted: March 26, 2020; Published Online: April 15, 2020
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