{ "id": "quant-ph/0601092", "version": "v3", "published": "2006-01-13T14:37:00.000Z", "updated": "2006-05-30T13:12:03.000Z", "title": "A SU(2) recipe for mutually unbiased bases", "authors": [ "M. R. Kibler", "M. Planat" ], "comment": "v2: abstract enlarged, a corollary added, acknowledgments added, one reference added, presentation improved; v3: two misprints corrected", "journal": "International Journal of Modern Physics B 20 (2006) 1802-1807", "doi": "10.1142/S0217979206034303", "categories": [ "quant-ph", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v3", "updated": "2006-05-30T13:12:03.000Z" } ], "analyses": { "keywords": [ "mutually unbiased bases", "constant angular momentum", "ffz algebra", "simple recipe", "complete set" ], "tags": [ "journal article" ], "publication": { "journal": "International Journal of Modern Physics B", "year": 2006, "volume": 20, "number": "11-13", "pages": 1802 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006IJMPB..20.1802K" } } }