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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster: Quantum Dynamics and Many-body Systems
DY 29.8: Poster
Mittwoch, 19. März 2025, 15:00–18:00, P4
Generalizing Quantum Question Equalities: Measurement Order Effects in Cognitive Decision-Making — •Michael Schnabel — Vanderbilt University, Nashville, TN (USA)
The quantum question (QQ) equality, formulated by Wang and Busemeyer [1] provides a non-parametric prediction for the pairwise probabilities of binary questions represented by two non-commutative observables A and B and their associated projection operators PA and PB. The QQ equality has played a significant role in the development of the quantum cognition research program as it enabled testing whether the order effects observed in a representative dataset of questionnaires could be represented as quantum interference within a quantum probability framework, providing compelling evidence [2]. Here, I formulate QQ equalities that extend beyond pairwise comparisons and binary outcomes, accommodating situations with N≥3 questions under the assumption that measurements are represented by idempotent projection operators. These results may be applicable to low-dimensional discrete quantum systems, such as qubits and qtrits, and potentially provide a generalizable framework for understanding order effects in cognitive decision-making across various domains of questionnaire design and experimental psychology. [1] Wang and Busemeyer. Top.Cogn.Sci., 5(4), (2013). [2] Wang, Solloway, Shiffrin, and Busemeyer.PNAS, 111(26), (2014).
Keywords: Measurement Order Effects; Quantum Question Equality; Quantum-Like Models; Cognitive Decision-Making; Projection Operators