Hidden Variables

Detlef Dürr, Dustin Lazarovici

Jesús Fernández Sánchez

In this paper, it will be explained the quantum entanglement using hidden variables. This means, with no need of immediate or infinity range interactions. For this, the solution would be to take into account also the measurement device hidden variables. These hidden variables of the measurement device will cause that the detection of the particles to be measured, can only be made at certain moments, places and orientations that correspond when the particle states have specific values. This means, the particle state can be changing over time, but the measurement equipment can only detect it when it has certain values (because the hidden values of the measurement equipment are also participating in the process). So, the measurement device is participating indirectly in the entanglement of the particles. The problem until now with hidden variables interpretation was that only the hidden variables of the particles were taken into account. But, once the measurement device hidden variables status is considered also, the issue can be solved.

Koji Nagata, Tadao Nakamura

We study the relation between hidden variables theories and quantum computation.We discuss an inconsistency between a hidden variables theory and controllability of quantum computation.To derive the inconsistency, we use the maximum value of the square of an expected value.We propose a solution of the problem by using new hidden variables theory.Also we discuss an inconsistency between hidden variables theories and the double-slit experiment as the most basic experiment in quantum mechanics.This experiment can be an easy detector to Pauli observable.We cannot accept hidden variables theories to simulate the double-slit experiment in a specific case.Hidden variables theories may not depicture quantum detector.This is a quantum measurement theoretical profound problem.

Seth Sullivant

R. Rossi, Leonardo A. M. Souza

Bell inequalities or Bell-like experiments are supposed to test hidden variable theories based on three intuitive assumptions: determinism, locality and measurement independence. If one of the assumptions of Bell inequality is properly relaxed, the probability distribution of the singlet state, for example, can be reproduced by a hidden variable model. Models that deal with the relaxation of some condition above, with more than one hidden variable, have been studied in the literature nowadays. In this work the relation between the number of hidden variables and the degree of relaxation necessary to reproduce the singlet correlations is investigated. For the examples studied, it is shown that the increase of the number of hidden variables does not allow for more efficiency in the reproduction of quantum correlations.