Diederik Aerts, Sandro Sozzo
Research in the application of quantum structures to cognitive science confirms that quite systematically these structures appear in the dynamics of concepts and their combinations and quantum-based models faithfully represent experimental data of situations where classical approaches are problematical. In this paper, we analyse the data we collected in an experiment on a specific conceptual combination, showing that Bell's inequalities are violated in the experiment. Then, we work out a quantum representation in Hilbert space in which 'entangled measurements' occur, in addition to the expected 'entanglement between concepts'. This stronger form of entanglement in both states and measurements has relevant applications in the foundations of quantum mechanics, as well as in the interpretation of nonlocality tests. It could indeed explain some non-negligible 'anomalies' identified in EPR-Bell experiments.
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http://arxiv.org/abs/1302.3831
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