Graded tensor products and the problem of tensor grade computation and reduction

dc.contributor.authorKhrennikov, Andrei Yu.
dc.contributor.authorRosinger, Elemer E.
dc.contributor.authorVan Zyl, A.J. (Gusti)
dc.contributor.emailelemer.rosinger@up.ac.zaen_US
dc.date.accessioned2012-09-19T06:47:44Z
dc.date.available2012-09-19T06:47:44Z
dc.date.issued2012-01
dc.description.abstractWe consider a non-negative integer valued grading function on tensor products which aims to measure the extent of entanglement. This grading, unlike most of the other measures of entanglement, is defined exclusively in terms of the tensor product. It gives a possibility to approach the notion of entanglement in a more refined manner, as the non-entangled elements are those of grade zero or one, while the rest of elements with grade at least two are entangled, and the higher its grade, the more entangled an element of the tensor product is. The problem of computing and reducing the grade is studied in products of arbitrary vector spaces over arbitrary fields.en_US
dc.description.sponsorshipSwedish Research Council and South African National Research Foundation.en_US
dc.description.urihttp://www.springer.com/mathematics/algebra/journal/12607en_US
dc.identifier.citationKhrennikov, AY, Rosinger, EE & Van Zyl, AJ 2012, 'Graded tensor products and the problem of tensor grade computation and reduction', p-Adic Numbers, Ultrametric Analysis and Applications, vol. 4, no. 1, pp. 20-26, doi: 10.1134/S2070046612010037.en_US
dc.identifier.issn2070-0466 (print)
dc.identifier.issn2070-0474 (online)
dc.identifier.other10.1134/S2070046612010037
dc.identifier.urihttp://hdl.handle.net/2263/19806
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Pleiades Publishing, Ltd., 2012. The original publication is available at www.springerlink.com.en_US
dc.subjectGraded tensor producten_US
dc.subjectEntanglementen_US
dc.titleGraded tensor products and the problem of tensor grade computation and reductionen_US
dc.typePostprint Articleen_US

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