Possible Vulnerability of Bell-Clauser-Horne-Shimony-Holt Tests Used for Quantum Certification

De Zela F. · Annalen der Physik (2026) · DOI: 10.1002/andp.202500437

Resumen

A hidden variables (HVs) model is reported, which reproduces quantum predictions for Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) tests. The existence of such a model poses some limitations to quantum certifications that rely on Bell-CHSH inequality violations. The reported model does not prove wrong Bell's theorem. The latter assumes the factorability of the probability density pAB, which rules the stochastic behavior of the HVs. The reported HVs model is based on an extended form of pAB, which is suggested by Lebesgue's decomposition theorem for bounded functions. The considered pAB complies with locality and realism, and also with measurement independence, parameter independence and outcome independence.

Instituciones: Pontificia Universidad Católica del Perú