A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids

dc.creatorSzöllősi, Ferenc
dc.date2008-11-24
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:47:50Z
dc.date.available2026-07-07T12:47:50Z
dc.descriptionConstructions of Hadamard matrices from smaller blocks is a well-known technique in the theory of real Hadamard matrices: tensoring Hadamard matrices and the classical arrays of Williamson, Ito are all procedures involving smaller order building blocks. We apply a new block-construction for order 6 to obtain a previously unknown 2-dimensional family of complex Hadamard matrices. Our results extend the families D_6(t) and B_6(t) found by various authors recently. As a direct application the existence of a 2-parameter family of MUB-triplets of order 6 is shown.
dc.description10 pages, 1 figure, a new section added. Revised and submitted version
dc.identifierhttps://arxiv.org/abs/0811.3930
dc.identifierhttp://arxiv.org/abs/0811.3930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221856
dc.subjectOperator Algebras
dc.subject05B20; 46L10
dc.titleA two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids
dc.typetext

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