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Graded Tensor Products and Entanglement
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
Pretoria University, SA.
Pretoria University.
2012 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1424, p. 189-194Article in journal (Refereed) Published
Abstract [en]

We consider the grading structure on the tensor product corresponding to the tensor rank; the relation to the notion of entanglement is discussed. We also study a complex problem of finding the minimal (with respect to the aforementioned grading structure) representation of elements of the tensor product. The general construction is presented over an arbitrary number field. Hence, it can be applied not only to the conventional notion of entanglement over the field of complex numbers, but even for models of non-Archimedean (in particular, p-adic) quantum physics. The problem of tensor reduction is also studied for an arbitrary number field, but only in the two dimensional case.

Place, publisher, year, edition, pages
2012. Vol. 1424, p. 189-194
Keywords [en]
Probabilities ; Quantum theory ; Quantum entanglement ; Physics ; FPP
National Category
Physical Sciences
Research subject
Natural Science, Physics
Identifiers
URN: urn:nbn:se:lnu:diva-19063DOI: 10.1063/1.3688969ISI: 000302768800024Scopus ID: 2-s2.0-84860720256ISBN: 978-0-7354-1004-6 (print)OAI: oai:DiVA.org:lnu-19063DiVA, id: diva2:529319
Conference
Conference on Foundations of Probability and Physics - 6 (FPP), JUN 14-16, 2011, Vaxjo, SWEDEN
Available from: 2012-05-30 Created: 2012-05-30 Last updated: 2017-12-07Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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  • apa
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  • modern-language-association-8th-edition
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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