Conditions for Quantum Interference in Cognitive Sciences

Topics in Cognitive Science, Vol. 6, pp. 79-90, 2014

15 Pages Posted: 27 May 2013 Last revised: 1 Feb 2014

See all articles by Vyacheslav I. Yukalov

Vyacheslav I. Yukalov

Joint Institute for Nuclear Research; D-MTEC, ETH Zurich

Didier Sornette

Risks-X, Southern University of Science and Technology (SUSTech); Swiss Finance Institute; ETH Zürich - Department of Management, Technology, and Economics (D-MTEC); Tokyo Institute of Technology

Date Written: May 22, 2013

Abstract

We present a general classification of the conditions under which cognitive science, concerned e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based on the theory of quantum measurements. We stress that quantum effects in cognition can arise only when decisions are made under uncertainty. Conditions for the appearance of quantum interference in cognitive sciences and the conditions when interference cannot arise are formulated.

Keywords: Decisions under uncertainty, Quantum measurements, Quantum probability, Conditions for interference

JEL Classification: C44, D81

Suggested Citation

Yukalov, Vyacheslav I. and Sornette, Didier, Conditions for Quantum Interference in Cognitive Sciences (May 22, 2013). Topics in Cognitive Science, Vol. 6, pp. 79-90, 2014 , Available at SSRN: https://ssrn.com/abstract=2268567 or http://dx.doi.org/10.2139/ssrn.2268567

Vyacheslav I. Yukalov (Contact Author)

Joint Institute for Nuclear Research ( email )

Bogolubov Laboratory of Theoretical Physics
Dubna, 141980
Russia

D-MTEC, ETH Zurich ( email )

Zurich
Switzerland

Didier Sornette

Risks-X, Southern University of Science and Technology (SUSTech) ( email )

1088 Xueyuan Avenue
Shenzhen, Guangdong 518055
China

Swiss Finance Institute ( email )

c/o University of Geneva
40, Bd du Pont-d'Arve
CH-1211 Geneva 4
Switzerland

ETH Zürich - Department of Management, Technology, and Economics (D-MTEC) ( email )

Scheuchzerstrasse 7
Zurich, ZURICH CH-8092
Switzerland
41446328917 (Phone)
41446321914 (Fax)

HOME PAGE: http://www.er.ethz.ch/

Tokyo Institute of Technology ( email )

2-12-1 O-okayama, Meguro-ku
Tokyo 152-8550, 52-8552
Japan

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