dorsal/arxiv
View SchemaA SU(2) recipe for mutually unbiased bases
| Authors | M. R. Kibler, M. Planat |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601092 |
| URL | https://arxiv.org/abs/quant-ph/0601092 |
| DOI | 10.1142/S0217979206034303 |
| Journal | International Journal of Modern Physics B 20 (2006) 1802-1807 |
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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"abstract": "A simple recipe for generating a complete set of mutually unbiased bases in\ndimension (2j+1)**e, with 2j + 1 prime and e positive integer, is developed\nfrom a single matrix acting on a space of constant angular momentum j and\ndefined in terms of the irreducible characters of the cyclic group C(2j+1). As\ntwo pending results, this matrix is used in the derivation of a polar\ndecomposition of SU(2) and of a FFZ algebra.",
"arxiv_id": "quant-ph/0601092",
"authors": [
"M. R. Kibler",
"M. Planat"
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"doi": "10.1142/S0217979206034303",
"journal_ref": "International Journal of Modern Physics B 20 (2006) 1802-1807",
"title": "A SU(2) recipe for mutually unbiased bases",
"url": "https://arxiv.org/abs/quant-ph/0601092"
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