Circulant matrices, gauss sums and mutually unbiased I. The prime number case

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dc.creatorCombescure, M.
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:28Z
dc.date.available2026-07-07T08:39:28Z
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 $d \times d$ 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.
dc.identifierhttps://arxiv.org/abs/0710.5642
dc.identifierhttp://arxiv.org/abs/0710.5642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141084
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleCirculant matrices, gauss sums and mutually unbiased I. The prime number case
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