The ‘quantum cognition’ paradigm was recently challenged by its proven impossibility to simultaneously model ‘question order effects’ and ‘response replicability’. In the present article we describe sequential dichotomic measurements within an operational and realistic framework for human cognition, and represent them in a quantum-like ‘extended Bloch representation’, where the Born rule of quantum probability does not necessarily hold. We then apply this mathematical framework to successfully model question order effects, response replicability and unpacking effects, thus opening the way toward ‘quantum cognition beyond Hilbert space’.
CITATION STYLE
Aerts, D., Beltran, L., De Bianchi, M. S., Sozzo, S., & Veloz, T. (2017). Quantum cognition beyond Hilbert space: fundamentals and applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10106 LNCS, pp. 81–98). Springer Verlag. https://doi.org/10.1007/978-3-319-52289-0_7
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