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Quantum-Like Modeling: Projection Postulate and Quantum Nonlocality
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2022 (English)In: Credible Asset Allocation, Optimal Transport Methods, and Related Topics. TES 2022 / [ed] Sriboonchitta, S., Kreinovich, V., Yamaka, W., Springer, 2022, Vol. 429, p. 97-106Conference paper, Published paper (Refereed)
Abstract [en]

Applications of the mathematical apparatus of quantum theory to decision making, economics, and finances should be accommodated with the foundations of this theory. Quantum nonlocality (spooky action at a distance) is one of the most exiting features of modern quantum theory. This is one of the main challenges in justification of applications of the quantum formalism to humans. May be consideration of spooky action at a distance is acceptable for micro-systems, say photons. However, it is difficult to imagine such spooky action for humans. The aim of this note is demystification of quantum nonlocality via coupling of the “nonlocal structure” of the LÃŒders’ projection postulate with probabilistic conditioning. The role of the quantum state interpretation, statistical versus individual, is emphasized. By using the statistical interpretation for the LÃŒders’ state update, we are able to work with entangled states without appealing to the ambiguous notion of quantum nonlocality.

Place, publisher, year, edition, pages
Springer, 2022. Vol. 429, p. 97-106
Series
Studies in Systems, Decision and Control (SSDC), ISSN 2198-4182, E-ISSN 2198-4190 ; 429
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-122543DOI: 10.1007/978-3-030-97273-8_8Scopus ID: 2-s2.0-85135511034ISBN: 9783030972721 (print)ISBN: 9783030972738 (electronic)OAI: oai:DiVA.org:lnu-122543DiVA, id: diva2:1773469
Conference
15th International Conference of the Thailand Econometric Society, 1-2 January 2022, Chiang Mai, Tailand
Available from: 2023-06-22 Created: 2023-06-22 Last updated: 2023-09-06Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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Citation style
  • apa
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