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Publications de l'IPNL |  |
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Publications de l'IPNL | |
| HAL : in2p3-00184035, version 1 |
| arXiv : 0710.5642 |
| Fiche détaillée |  Récupérer au format |
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| Circulant matrices, gauss sums and mutually unbiased I. The prime number case |
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| M. Combescure1 |
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| (2007) |
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| In 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. |
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| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
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| Thème(s) | : | Mathématiques/Physique mathématique Physique/Physique Quantique |
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| in2p3-00184035, version 1 | |
| http://hal.in2p3.fr/in2p3-00184035 | |
| oai:hal.in2p3.fr:in2p3-00184035 | |
| Contributeur : Sylvie Florès | |
| Déposé pour le compte de : | |
| Soumis le : Mardi 30 Octobre 2007, 13:12:34 | |
| Dernière modification le : Mardi 30 Octobre 2007, 14:40:37 | |
