Inadequacy of the CHSH Bell inequality for an application to its associated photon correlation experiments
Résumé
We analyse the proof of a CHSH Bell-type inequality and show that this inequality cannot be applied to the experiments it has been designed for. In the example we study, two polarization
values are attributed to each of the two photons of a correlated photon pair, such that
four values are assigned simultaneously to a single pair. But in the experiments these four values cannot be measured simultaneously on a single photon pair, such that the assumptions
underlying the inequality do not properly translate the
experimental situation into mathematics.
By and large the community thinks that this objection has already been dealt with
by Larsson. However, the argument used by Larsson overlooks a normalization error.
The same errors occur
in the derivation of other types of Bell inequalities such that none of them can be applied
to the experimental data they were designed for. The violation of these Bell inequalities can therefore not be considered
as a proof for the existence of entanglement.
Domaines
Physique Quantique [quant-ph]
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