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Bell-CHSH inequality and unitary operators

M. S. Guimarães (Universidade do Estado do Rio de Janeiro), I. Roditi (Centro Brasileiro de Pesquisas Físicas), Silvio Paolo sorella (Universidade do Estado do Rio de Janeiro)

Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2024.116717 (Physics and Astronomy)
License: CC BY

Abstract: Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The relevance of a particular class of unitary operators whose expectation values are real is pointed out. For these operators, the classical and quantum bounds remain unaltered, being given, respectively, by 2 and 2 2 . As examples, we discuss the explicit realization of phase space Bell-CHSH inequality violation and the Weyl unitary operators for a real scalar field in relativistic Quantum Field Theory.

Published on 16 Oct. 2024