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A SU(2) recipe for mutually unbiased bases

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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Contributor : Maurice Robert Kibler Connect in order to contact the contributor
Submitted on : Tuesday, May 30, 2006 - 2:37:43 PM
Last modification on : Thursday, January 13, 2022 - 12:00:17 PM
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M. Kibler, M. Planat. A SU(2) recipe for mutually unbiased bases. International Journal of Modern Physics B, World Scientific Publishing, 2006, 20, pp.1802-1807. ⟨10.1142/S0217979206034303⟩. ⟨in2p3-00025391v3⟩



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