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Extended Tensor Products and Generalization of the Notion of Entanglement
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematics)ORCID iD: 0000-0002-9857-0938
2012 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1424, 176-188 p.Article in journal (Refereed) Published
Abstract [en]

Motivated by the novel applications of the mathematical formalism of quantum theory and its generalizations in cognitive science, psychology, social and political sciences, and economics, we extend the notion of the tensor product and entanglement. We also study the relation between conventional entanglement of complex qubits and our generalized entanglement. Our construction can also be used to describe entanglement in the framework of non-Archimedean physics. It is also possible to construct tensor products of non-Archimedean (e.g., p-adic) and complex Hilbert spaces.

Place, publisher, year, edition, pages
2012. Vol. 1424, 176-188 p.
Keyword [en]
Extended tensor product, generalization of entanglement, quantum-like models, cognitive and social sciences
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-19048DOI: 10.1063/1.3688968ISI: 000302768800023ISBN: 978-0-7354-1004-6 (print)OAI: oai:DiVA.org:lnu-19048DiVA: diva2:529307
Conference
Conference on Foundations of Probability and Physics - 6 (FPP), JUN 14-16, 2011, Vaxjo, SWEDEN
Available from: 2012-05-29 Created: 2012-05-29 Last updated: 2016-05-03Bibliographically approved

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Khrennikov, Andrei
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CiteExportLink to record
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