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A SU(2) recipe for mutually unbiased bases

M. R. Kibler·M. Planat
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Abstract

A simple recipe for generating a complete set of mutually unbiased bases in dimension (2j+1)**e, with 2j + 1 prime and e positive integer, is developed from a single matrix acting on a space of constant angular momentum j and defined in terms of the irreducible characters of the cyclic group C(2j+1). As two pending results, this matrix is used in the derivation of a polar decomposition of SU(2) and of a FFZ algebra.

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M. R. Kibler, M. Planat. 2006-05-30. A SU(2) recipe for mutually unbiased bases. https://doi.org/10.1142/s0217979206034303

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