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An inconsistency in the CHSH inequality

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Aiello,  Andrea
Christoph Marquardt Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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2409.01275.pdf
(Preprint), 481KB

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Citation

Aiello, A. (2024). An inconsistency in the CHSH inequality. arXiv 2409.01275.


Cite as: https://hdl.handle.net/21.11116/0000-000F-FB06-0
Abstract
Violation of the CHSH inequality supposedly demonstrates an irreconcilable conflict between quantum mechanics and local, realistic hidden variable theories. We show that the mathematical assumptions underlying the proof of the CHSH inequality are, in fact, incompatible with the physics of the experiments testing such inequality. This implies that we cannot dismiss local realistic hidden variable theories on the basis of currently available experimental data yet. However, we also show that an experimental proof of CHSH inequality is, in principle, possible, but it is unclear how to implement, in practice, such an experiment.