Hjelmslev Geometry of Mutually Unbiased Bases

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dc.creatorSaniga, Metod
dc.creatorPlanat, Michel
dc.date2005-06-22
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:42:16Z
dc.date.available2026-07-07T06:42:16Z
dc.descriptionThe basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer, are shown to be qualitatively mimicked by the configuration of points lying on a proper conic in a projective Hjelmslev plane defined over a Galois ring of characteristic p^2 and rank r. The q vectors of a basis of H\_q correspond to the q points of a (so-called) neighbour class and the q+1 MUBs answer to the total number of (pairwise disjoint) neighbour classes on the conic.
dc.description4 pages, 1 figure; extended list of references, figure made more illustrative and in colour; v3 - one more figure and section added, paper made easier to follow, references updated
dc.identifierhttps://arxiv.org/abs/math-ph/0506057
dc.identifierhttp://arxiv.org/abs/math-ph/0506057
dc.identifierJournal of Physics A 39 (2006) 435-440
dc.identifierdoi:10.1088/0305-4470/39/2/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101978
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleHjelmslev Geometry of Mutually Unbiased Bases
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