par Brierley, Stephen 
;Weigert, Stefan
Référence Journal of physics. Conference series, 254, 1, 012008
Publication Publié, 2010
;Weigert, StefanRéférence Journal of physics. Conference series, 254, 1, 012008
Publication Publié, 2010
Article révisé par les pairs
| Résumé : | A complex Hilbert space of dimension six supports at least three but not more than seven mutually unbiased bases. Two computer-aided analytical methods to tighten these bounds are reviewed, based on a discretization of parameter space and on Gröbner bases. A third algorithmic approach is presented: the non-existence of more than three mutually unbiased bases in composite dimensions can be decided by a global optimization method known as semidefinite programming. The method is used to confirm that the spectral matrix cannot be part of a complete set of seven mutually unbiased bases in dimension six. © 2010 IOP Publishing Ltd. |
