2011/04/30 by Antonio Di Lorenzo
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8113/45/26/265302
published as J. Phys. A: Math. Theor. 45, 265302 (2012) · 10 pages, 1 fig
openalex publication_date 2012/06/07 · arxiv created 2012/06/08 · arxiv updated 2012/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
A hidden variable model reproducing the quantum mechanical probabilities for a spin singlet is presented. The model violates only the hypothesis of independence of the distribution for the hidden variables from the detectors settings and vice versa (Measurement Independence). It otherwise satisfies the hypotheses of Setting Independence, Outcome Independence -- made in the derivation of Bell inequality -- and that of compliance with Malus's Law -- made in the derivation of Leggett inequality. It is shown that the violation of the Measurement Independence hypothesis may be explained alternatively by assuming a non-local influence of the detectors settings on the hidden variables, or by taking the hidden variable to influence the choice of settings (limitation of free will), or finally by purporting a conspiracy. It is demonstrated that the last two cases admit a realization through existing local classical resources.