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Circulant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Case

dc.creatorCombescure, Monique
dc.date2009-09-01
dc.date.accessioned2019-05-03T12:36:38Z
dc.date.available2019-05-03T12:36:38Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1454
dc.identifier.urihttp://revistaschilenas.uchile.cl/handle/2250/84186
dc.descriptionIn this paper, we consider the problem of Mutually Unbiased Bases in prime dimension d. It is known to provide exactly d + 1 mutually unbiased bases. We revisit this problem using a class of circulant d × d matrices. The constructive proof of a set of d + 1 mutually unbiased bases follows, together with a set of properties of Gauss sums, and of bi-unimodular sequences.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1454/1309
dc.sourceCUBO, A Mathematical Journal; Vol. 11 Núm. 4 (2009): CUBO, A Mathematical Journal; 73–86es-ES
dc.sourceCUBO, A Mathematical Journal; Vol 11 No 4 (2009): CUBO, A Mathematical Journal; 73–86en-US
dc.source0719-0646
dc.source0716-7776
dc.titleCirculant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Caseen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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