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General Formalism of Decision Making Based on Theory of Open Quantum Systems
Tokyo University of Science.
Tokyo University of Science.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-2396-6193
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2013 (English)In: Quantum Bio-Informatics V - Proceedings of the Quantum Bio-Informatics 2011: Tokyo University of Science, Japan, 7 – 12 March 2011 / [ed] Luigi Accardi, Wolfgang Freudenberg, and Masanori Ohya, World Scientific, 2013, p. 49-56Conference paper, Published paper (Refereed)
Abstract [en]

We present the general formalism of decision making which is based on the theory of open quantum systems. A person (decision maker), say Alice, is considered as a quantum-like system, i.e., a system which information processing follows the laws of quantum information theory. To make decision, Alice interacts with a huge mental bath. Depending on context of decision making this bath can include her social environment, mass media (TV, newspapers, INTERNET), and memory. Dynamics of an ensemble of such Alices is described by Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. We speculate that in the processes of evolution biosystems (especially human beings) designed such “mental Hamiltonians” and GKSL-operators that any solution of the corresponding GKSL-equation stabilizes to a diagonal density operator (In the basis of decision making.) This limiting density operator describes population in which all superpositions of possible decisions has already been resolved. In principle, this approach can be used for the prediction of the distribution of possible decisions in human populations.

Place, publisher, year, edition, pages
World Scientific, 2013. p. 49-56
Series
QP-PQ : Quantum Probability and White Noise Analysis, ISSN 1793-5121 ; 30
National Category
Mathematics Psychology
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-33665DOI: 10.1142/9789814460026_0005ISI: 000337567400005ISBN: 978-981-4460-01-9 (print)OAI: oai:DiVA.org:lnu-33665DiVA, id: diva2:710720
Conference
Quantum Bio-Informatics 2011, Tokyo University of Science, Japan, 7 – 12 March 2011
Available from: 2014-04-08 Created: 2014-04-08 Last updated: 2018-05-16Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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CiteExportLink to record
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Citation style
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