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New Trends in Quantum Information, A. Sakaji, I. Licata, J. Singh, and S. Felloni (Ed.) (2010) 191-210
Formulas for Mutually Unbiased Bases in Systems of Qudits
Maurice Robert Kibler1

We report on a method 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. The derivation is based on a single formula easily codable on a classical computer. Repeated application of the formula can be used for generating formulas in the case where C^p is replaced by C^d with d = p^e (e > or = 2) a power of a prime integer.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Physique/Physique Quantique

Physique/Physique mathématique

Mathématiques/Physique mathématique
qubits – qudits – qupits – mutually unbiased bases – quantum information – Lie algebras sl(d – C) and su(d)