Local Realistic Interpretation of Entangled Photon Pairs in the Weyl-Wigner Formalism

  title={Local Realistic Interpretation of Entangled Photon Pairs in the Weyl-Wigner Formalism},
  author={Emilio Santos},
  booktitle={Frontiers of Physics},
  • E. Santos
  • Published in Frontiers of Physics 11 August 2019
  • Physics
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. A realistic stochastic interpretation is proposed suggesting that an analysis of the experiments more detailed than the Bell approach may be compatible with local realism. Entanglement appears as a correlation between fluctuations of signal and vacuum fields. 

On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics

  • E. Santos
  • Physics
    The European Physical Journal Plus
  • 2022
I expose nonrelativistic quantum electrodynamics in the Weyl–Wigner representation. Hence, I prove that an approximation to first order in Planck constant has a formal analogy with stochastic

Vacuum Dependent Bell Local Hidden Variable Models and Generalized C.H.S.H. Inequalities

We extend a previous model of the author which generalizes Bell local hidden variable models to the case of entangled photon pairs assuming that the standard Bell correlation functions depend on a

Stochastic Interpretation of Quantum Mechanics Assuming That Vacuum Fields Are Real

We characterize the electromagnetic vacuum as a stochastic field. Some consequences, like the particle behaviour of light, are studied. The stochastic approach is connected with the standard Hilbert

Violation of Bell Inequalities: Mapping the Conceptual Implications

This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of

Innsbruck Teleportation Experiment in the Wigner Formalism: A Realistic Description Based on the Role of the Zero-Point Field

In this article, an undulatory description of the Innsbruck teleportation experiment is given, grounded in the role of the zero-point field (ZPF). The Wigner approach in the Heisenberg picture is

Information Entropy Squeezing and Non-local Correlation Between a Two-Level Atom and Two-Mode Field Under the Classical Field Effect

This paper examines the squeezing on information entropy and entanglement on the basis of a quantum scheme that contains two-mode interaction with time dependence of a two-level atom, including the



Evidence for phase memory in two-photon down conversion through entanglement with the vacuum.

  • OuWangZouMandel
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1990
It is found that the down-converted light carries information about the phase of the pump field through the entanglement of the down -converted photons with the vacuum.

Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons.

A Bell test is reported that closes the most significant of loopholes that provide loopholes for a local realist explanation of quantum mechanics, using a well-optimized source of entangled photons, rapid setting generation, and highly efficient superconducting detectors.


DEGREES Ph.D., 1998, Agricultural & Resource Economics, University of California, Berkeley Fields: Economic Theory, Environmental & Resource Economics, Industrial Organization Dissertation:

Quantum mechanics as a statistical theory

  • J. E. Moyal
  • Physics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1949
An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the

On the Einstein-Podolsky-Rosen paradox

THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional

High-spin yrast and yrare structures in 112In

Abstract.The high-spin states of 112In have been investigated with in-beam $ \gamma$ -ray spectroscopic methods using the 110Pd (7Li, 5n)112In reaction at a beam energy of 50MeV. A level scheme with

Parametric down and up conversion in the Wigner representation of quantum optics

Abstract We study spontaneous parametric processes starting from the quantized field equations in the Heisenberg picture using the common approximation of treating the laser pump as classical. After

Quantenmechanik und Gruppentheorie

ZusammenfassungEinleitung und Zusammenfassung. — I. Teil. Bedeutung der Repräsentation von physikalischen Größen durch Hermitesche Formen. § 1. Mathematische Grundbegriffe, die Hermiteschen Formen

On the quantum correction for thermodynamic equilibrium

The probability of a configuration is given in classical theory by the Boltzmann formula exp [— V/hT] where V is the potential energy of this configuration. For high temperatures this of course also

On the Principles of Elementary Quantum Mechanics