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Erschienen in:
Interpretations of QM with Applications for Formal Epistemology Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition: Metaphors of Two and Three Slit Experiments

verfasst von : Irina Basieva, Andrei Khrennikov

Erschienen in: Quantum Interaction

Verlag: Springer International Publishing

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Abstract

Analogy between the two slit experiment in quantum mechanics (QM) and the disjunction effect in psychology led to fruitful applications of the mathematical formalism of quantum probability to cognitive psychology. These quantum-like studies demonstrated that quantum probability (QP) matches better with the experimental statistical data than classical probability (CP). Similar conclusion can be derived from comparing QP and CP models for a variety of other cognitive-psychological effects, e.g., the order effect. However, one may wonder whether QP covers completely cognitive-psychological phenomena or cognition exhibits even more exotic probabilistic features and we have to use probabilistic models with even higher degree of nonclassicality than quantum probability. It is surprising that already a cognitive analog of the triple slit experiment in QM can be used to check this problem.

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Vorheriges Kapitel Probabilistic Nature of a Field with Time as a Dynamical Variable
Nächstes Kapitel Contextuality in the Integrated Information Theory
Fußnoten
1
When the first version of this note was prepared [14]; the authors contacted E. Pothos (City University, London) with the proposal to perform this experiment. He informed us that his group has been already working on the triple slit experiment, but problems of the organizational character postponed its completion. Now the research group of E. Guerci (University of Cote d’ Azur; Nice) also works on preparation of this experiment; unfortunately, it also confronts some problems (to finance completion of the experimental study). So, now we are in the state of exciting expectation of the outputs of these experiments. In principle, we cannot exclude that they would be opposite...
 
2
Incompatible observables represented by non-commutative Hermitian operators cannot be measured jointly. Therefore the straightforward definition of the joint probability distribution is inapplicable. However, it is possible to explore the definition generalizing representation of the classical joint probability distribution through conditional probability. However, the order structure of observations has to be taken into account, because in general \(p(a=a_i) p(b= b_j\vert a=a_i)\) is not equal to \(p(b= b_j) p(a=a_i \vert b= b_j)\).
 
3
Its homogeneity is important, because it will be divide into a few subgroups which will be used to collect different blocks of statistical data. And it is important that we can assume that the members of all subgroups have “the same mental state”.
 
4
Another proposal: Do you think that your application for emigration (to this country) will be successful?
 
Literatur
1.
Khrennikov, A.: Ubiquitous Quantum Structure: From Psychology to Finances. Springer, Heidelberg (2010)CrossRefMATH
2.
Busemeyer, J.R., Bruza, P.D.: Quantum Models of Cognition and Decision. Cambridge University Press, Cambridge (2012)CrossRef
3.
Haven, E., Khrennikov, A.: Quantum Social Science. Cambridge University Press, Cambridge (2013)CrossRefMATH
4.
Asano, M., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I.: Quantum Adaptivity in Biology: From Genetics to Cognition. Springer, Heidelberg (2015)MATH
5.
Khrennikov, A.: Interpretations of Probability. VSP Int. Sc. Publishers, Utrecht/Tokyo (1999)MATH
6.
Pothos, E.M., Busemeyer, J.R.: A quantum probability explanation for violation of rational decision theory. Proc. Royal. Soc. B 276, 2171–2178 (2009)CrossRef
7.
Khrennikov, A., Basieva, I., Dzhafarov, E.N., Busemeyer, J.R.: Quantum models for psychological measurements: an unsolved problem. PLoS ONE. 9. Article ID: e110909 (2014)
8.
Boyer-Kassem, T., Duchene, S., Guerci, E.: Quantum-like models cannot account for the conjunction fallacy. GREDEG Working Papers 2015–41, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis (2015)
9.
Boyer-Kassem, T., Duchene, S., Guerci, E.: Testing quantum-like models of judgment for question order effects. GREDEG Working Papers 2015–06, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis (2015)
10.
Basieva, I., Khrennikov, A.: On a possibility to combine the order effect with sequential reproducibility for quantum measurements. Found. Phys. 45, 1379–1393 (2015)MathSciNetCrossRefMATH
11.
12.
Sinha, U., Couteau, C., Medendorp, Z., Sillner, I., Laflamme, R., Sorkin, R., Weihs, G.: Testing Born’s rule in quantum mechanics with a triple slit experiment. In: Accardi, L., Adenier, G., Fuchs, C., Jaeger, G., Khrennikov, A., Larsson, J.-A., and Stenholm, S. (eds). Foundations of Probability and Physics-5, vol. 1101, pp. 200–207. American Institute of Physics, Ser. Conference Proceedings, Melville (2009)
13.
Sinha, U., Couteau, C., Jenewein, T., Laflamme, R.D., Weihs, G.: Ruling out multi-order interference in quantum mechanics. Science 329, 418–421 (2010)MathSciNetCrossRefMATH
14.
Khrennikov, A., Basieva, I.: Testing boundaries of applicability of quantum probabilistic formalism to modeling of cognition. arXiv:​1603.​03079 [q-bio.NC]
15.
Feynman, R., Hibbs, A.: Quantum Mechanics and Path Integrals. McGraw-Hill, New York (1965)MATH
16.
Khrennikov, A.: Linear representations of probabilistic transformations induced by context transitions. J. Phys. A Math. Gen. 34, 9965–9981 (2001)MathSciNetCrossRefMATH
17.
Metadaten
Titel
Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition: Metaphors of Two and Three Slit Experiments
verfasst von
Irina Basieva
Andrei Khrennikov
Copyright-Jahr
2017
Buch
Quantum Interaction

Print ISBN: 978-3-319-52288-3

Electronic ISBN: 978-3-319-52289-0

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-52289-0_4