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Basics of Quantum Theory for Quantum-Like Modeling Information Retrieval
Linnaeus University, Faculty of Technology, Department of Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
2019 (English)In: Quantum-Like Models for Information Retrieval and Decision-Making / [ed] Diederik Aerts, Andrei Khrennikov, Massimo Melucci, Bourama Toni, Springer, 2019, p. 51-82Chapter in book (Refereed)
Abstract [en]

This chapter contains a brief introduction to the mathematical formalism and axiomatics of quantum mechanics (QM). Recently quantum mathematics and methodology started to be widely used for modeling decision making for humans and AI-systems, including quantum-like modeling information retrieval. Experts in such areas do not go deeply into the details of quantum theory. Moreover, typically such consumers of quantum theory do not use all its components. Quantum measurement theory is the most useful for application, including information retrieval. The main issue is the quantum treatment of incompatible observables represented mathematically by noncommuting Hermitian operators. At the level of statistical data incompatibility is represented as interference of probabilities, in the form of modification of the formula of total probability by adding the interference term.

Place, publisher, year, edition, pages
Springer, 2019. p. 51-82
Series
STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, ISSN 2520-193X, E-ISSN 2520-1948
National Category
Other Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-93480DOI: 10.1007/978-3-030-25913-6_4Scopus ID: 2-s2.0-85103913374ISBN: 978-3-030-25912-9 (print)ISBN: 978-3-030-25913-6 (electronic)OAI: oai:DiVA.org:lnu-93480DiVA, id: diva2:1423953
Available from: 2020-04-16 Created: 2020-04-16 Last updated: 2021-05-07Bibliographically approved

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