Local realistic interpretation of entangled photon pairs in the Weyl-Wigner formalism

Abstract

A polarization correlation experiment with two maximally entangled photons created by spontaneous parametric down-conversion is studied in the Weyl-Wigner formalism, that reproduces the quantum predictions. An interpretation is proposed in terms of stochastic processes assuming that the quantum vacuum fields are real. This proves that local realism is compatible with the violation of Bell inequalities, thus rebutting the claim that local realism has been refuted by entangled photon experiments. Entanglement appears as a correlation between fluctuations of a signal field and vacuum fields.

19 pages. Errors corrected. arXiv admin note: text overlap with arXiv:1905.08238

References in corpus (2)

• Partial Bell-state analysis with parametric down conversion in the Wigner function formalism
• Rome teleportation experiment analysed in the Wigner representation: the role of the zeropoint fluctuations in complete one-photon polarization-momentum Bell-state analysis

Cited by in corpus (5)

• On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics
• Stochastic interpretation of quantum mechanics assuming that vacuum fields are real
• The quantum electromagnetic field in the Weyl-Wigner representation
• The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
• Violation of Bell Inequalities: Mapping the Conceptual Implications