About the description of physical reality of Bell's experiment

TL;DR

This paper explores a hidden variables model that reproduces quantum predictions, proposes a deterministic detection condition, and introduces a classical code mimicking a hypothetical new quantum computer to analyze Bell's experiment.

Contribution

It introduces a classical code that simulates a new type of quantum computer based on a threshold detection condition, advancing the understanding of hidden variables and Bell's experiment.

Findings

The code reproduces features of a hypothetical quantum computer.

Some intuitive assumptions about Bell's experiment are shown to fail.

Analysis suggests new insights into local realism and quantum measurement.

Abstract

A hidden variables model complying with the simplest form of Local Realism was recently introduced, which reproduces Quantum Mechanics' predictions for an even ideally perfect Bell's experiment. This is possible thanks to the use of a non-Boolean vector hidden variable. Yet, that model is as far as Quantum Mechanics from the goal of providing a complete description of physical reality in the EPR-sense. Such complete description includes the capacity to calculate, from the values taken by the hidden variables, the time values when particles are detected. This can be achieved by replacing Born's rule (which allow calculating only probabilities) with a deterministic condition for particle detection. The simplest choice is a threshold condition on the hidden variables. However, in order to test this choice, a new type of quantum (or wave, or non-Boolean) computer is necessary. This new type of quantum computer does not exist yet, not even in theory. In this paper, a classical (Boolean) computer code is presented which mimics the operation of that new type of quantum computer by using contextual instructions. These instructions take into account a consequence of the principle of superposition (which is a typical vector, i.e. non-Boolean, feature). Numerical results generated by the mimicking code are analyzed. They illustrate the features the hypothetical new type of quantum computer's output may have, and show how and why some intuitive assumptions about Bell's experiment fail.