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Bases for qudits from a nonstandard approach to SU(2)
Kibler M. R.
Dans Physics of Atomic Nuclei (Yadernaya fizika) - 13th International Conference on Symmetry Methods in Physics (SYMPHYS XIII), Dubna : Russie, Fédération De (2009) - http://hal.in2p3.fr/in2p3-00470424
Physique/Physique Quantique
Physique/Physique mathématique
Mathématiques/Physique mathématique
Bases for qudits from a nonstandard approach to SU(2)
Maurice Robert Kibler ()1
1 :  IPNL - Institut de Physique Nucléaire de Lyon
http://www.ipnl.in2p3.fr/
CNRS : UMR5822 – IN2P3 – Université Claude Bernard - Lyon I (UCBL)
France
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.

Conférences invitées
2011
2009
Physics of Atomic Nuclei (Yadernaya fizika)
74
923-929

13th International Conference on Symmetry Methods in Physics (SYMPHYS XIII)
Dubna
Russie, Fédération De
06/07/2009
09/07/2009
M.R. Kibler

03.65.Fd, 03.65.Ta, 03.65.Ud, 03.67.-a, 02.20.Qs
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.
su(2) and su(d) Lie algebras – angular momentum – mutually unbiased bases – qubits and qudits
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