2011/06/07 by Louis Sica, Sica, Louis
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Random Matrices and Applications #advanced mathematical theories #quant-ph
paper · pdf · doi:10.48550/arxiv.1106.1453
20 pages, 1 figure
arxiv created 2011/06/07 · openalex publication_date 2011/06/07 · arxiv updated 2011/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
As discussed below, Bell's inequalities and experimental results rule out commutative hidden variable models as a basis for Bell correlations, but not necessarily non-commutative probability models. A local probability model is constructed for Bell correlations based on non-commutative operations involving polarizers. As in the entanglement model, the Bell correlation is obtained from a probability calculus without explicit use of deterministic hidden variables. The probability calculus used is associated with chaotic light. Joint wave intensity correlations at spatially separated polarization analyzers are computed using common information originating at the source. When interpreted as photon count rates, these yield quantum mechanical joint probabilities after the contribution of indeterminate numbers of photon pairs greater than one is subtracted out. The formalism appears to give a local account of Bell correlations.