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arXiv · 2102.03847

Entanglement in Cognition violating Bell Inequalities Beyond Cirel'son's Bound

Diederik Aerts·Jonito Aerts Arguëlles·Lester Beltran·Suzette Geriente·Sandro Sozzo
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Abstract

We present the results of two tests where a sample of human participants were asked to make judgements about the conceptual combinations {\it The Animal Acts} and {\it The Animal eats the Food}. Both tests significantly violate the Clauser-Horne-Shimony-Holt version of Bell inequalities (`CHSH inequality'), thus exhibiting manifestly non-classical behaviour due to the meaning connection between the individual concepts that are combined. We then apply a quantum-theoretic framework which we developed for any Bell-type situation and represent empirical data in complex Hilbert space. We show that the observed violations of the CHSH inequality can be explained as a consequence of a strong form of `quantum entanglement' between the component conceptual entities in which both the state and measurements are entangled. We finally observe that a quantum model in Hilbert space can be elaborated in these Bell-type situations even when the CHSH violation exceeds the known `Cirel'son bound', in contrast to a widespread belief. These findings confirm and strengthen the results we recently obtained in a variety of cognitive tests and document and image retrieval operations on the same conceptual combinations.

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Diederik Aerts, Jonito Aerts Arguëlles, Lester Beltran, Suzette Geriente, Sandro Sozzo. 2021-02-07. Entanglement in Cognition violating Bell Inequalities Beyond Cirel'son's Bound. https://arxiv.org/abs/2102.03847

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