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| HAL : in2p3-00470424, version 1 |
| arXiv : 1004.0929 |
| Fiche détaillée |  Récupérer au format |
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| 13th International Conference on Symmetry Methods in Physics (SYMPHYS XIII), Dubna : Russian Federation (2009) |
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| Bases for qudits from a nonstandard approach to SU(2) |
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| Maurice Robert Kibler1 |
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| (2011) |
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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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| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
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| Thème(s) | : | Physique/Physique Quantique Physique/Physique mathématique Mathématiques/Physique mathématique |
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| su(2) and su(d) Lie algebras – angular momentum – mutually unbiased bases – qubits and qudits |
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| in2p3-00470424, version 1 | |
| http://hal.in2p3.fr/in2p3-00470424 | |
| oai:hal.in2p3.fr:in2p3-00470424 | |
| Contributeur : Maurice Robert Kibler | |
| Déposé pour le compte de : | |
| Soumis le : Mardi 6 Avril 2010, 15:13:59 | |
| Dernière modification le : Vendredi 24 Juin 2011, 15:38:53 | |
