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Fédération Denis Poisson |  |
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Fédération Denis Poisson | |
| HAL : hal-00359160, version 1 |
| arXiv : 0902.0882 |
| DOI : 10.1088/1751-8113/42/24/245305 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Physics A: Mathematical and Theoretical 42, 24 (2009) 245305 |
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| A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6 |
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| P. Jaming 1M. Matolcsi 2, 3 |
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| (2009) |
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| In this paper we exhibit the existence of an {\it infinite family of triplets} of mutually unbiased bases (MUBs) in dimension 6. These triplets involve the Fourier family of Hadamard matrices, $F(a,b)$. The emergence of such an infinite family is surprising because only a handful of isolated examples of MUB-triplets have been known in the literature so far. However, we also prove that {\it no triplet of the infinite family can be extended to a MUB-quartet}. We consider this latter result a breakthrough in that the {\it method} of proof may successfully be applied in the future to prove that the maximal number of MUBs in dimension 6 is three. |
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| 1 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| 2 : | Renyi Institute |
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Renyi Institute |
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| 3 : | Department of Mathematical Analysis (BME) |
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Budapest University of Technology and Economics |
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| 4 : | Institute of Mathematics and its Applications (CEU) |
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Central European University |
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| Domaine | : | Physique/Physique Quantique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0902.0882 |
| hal-00359160, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00359160 | |
| oai:hal.archives-ouvertes.fr:hal-00359160 | |
| Contributeur : Philippe Jaming | |
| Soumis le : Vendredi 6 Février 2009, 10:33:25 | |
| Dernière modification le : Mercredi 2 Septembre 2009, 10:36:57 | |
