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- Title
A SU(2) RECIPE FOR MUTUALLY UNBIASED BASES.
- Authors
Kibler, Maurice R.; Planat, Michel
- Abstract
A simple recipe for generating a complete set of mutually unbiased bases in dimension 2j + 1, with 2j integer and 2j + 1 prime, is developed from a single matrix Va acting on a space of constant angular momentum j and defined in terms of the irreducible characters of the cyclic group C2j + 1. This recipe yields an (apparently new) compact formula for the vectors spanning the various mutually unbiased bases. In dimension (2j + 1)e, with 2j integer, 2j + 1 prime and e positive integer, the use of direct products of matrices of type Va makes it possible to generate mutually unbiased bases. As two pending results, the matrix Va is used in the derivation of a polar decomposition of SU(2) and of a FFZ algebra.
- Subjects
MATRICES (Mathematics); MATHEMATICAL analysis; BASES (Linear topological spaces); MATHEMATICAL sequences; ALGEBRA
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2006, Vol 20, Issue 11-13, p1802
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979206034303