| Thème(s) : |
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| Titre : |
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Bases for qudits from a nonstandard approach to SU(2) |
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| Auteur : |
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Maurice Robert Kibler ( )1 |
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| Laboratoire : |
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| Résumé : |
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Bases of finite-dimensional Hilbert spaces (in dimension d) of relevance for quantum information and quantum computation are constructed from angular momentum theory and su(2) Lie algebraic methods. We report on a formula for deriving in one step the (1+p)p qupits (i.e., qudits with d = p a prime integer) of a complete set of 1+p mutually unbiased bases in C^p. Repeated application of the formula can be used for generating mutually unbiased bases in C^d with d = p^e (e > or = 2) a power of a prime integer. A connection between mutually unbiased bases and the unitary group SU(d) is briefly discussed in the case d = p^e. |
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| Type de publication : |
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Conférences invitées |
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Date de publication
ou d'écriture : |
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2011 |
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| Date de la présentation : |
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2009 |
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Nom du périodique
Titre de l'ouvrage : |
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Physics of Atomic Nuclei (Yadernaya fizika) |
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| Volume : |
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74 |
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| Page/Article : |
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923-929 |
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| Nom du colloque : |
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13th International Conference on Symmetry Methods in Physics (SYMPHYS XIII) |
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| Ville du colloque : |
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Dubna |
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| Pays du colloque : |
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Russie, Fédération De |
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| Date du colloque (début) : |
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06/07/2009 |
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| Date du colloque (fin) : |
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09/07/2009 |
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| Speaker : |
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M.R. Kibler |
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| Classification PACS : |
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03.65.Fd, 03.65.Ta, 03.65.Ud, 03.67.-a, 02.20.Qs |
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| Commentaire : |
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From a talk presented at the 13th International Conference on Symmetry Methods in Physics (Dubna, Russia, 6-9 July 2009) organized in memory of Prof. Yurii Fedorovich Smirnov by the Bogoliubov Laboratory of Theoretical Physics of the JINR and the ICAS at Yerevan State University. |
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| Mot(s)-clé(s) : |
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su(2) and su(d) Lie algebras – angular momentum – mutually unbiased bases – qubits and qudits |
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