Hjelmslev Geometry of Mutually Unbiased Bases
Saniga, Metod ; Planat, Michel
arXiv, 0506057 / Harvested from arXiv
Text on arXiv
The basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer, are shown to be qualitatively mimicked by the configuration of points lying on a proper conic in a projective Hjelmslev plane defined over a Galois ring of characteristic p^2 and rank r. The q vectors of a basis of H\_q correspond to the q points of a (so-called) neighbour class and the q+1 MUBs answer to the total number of (pairwise disjoint) neighbour classes on the conic.
Publié le : 2005-06-22
Classification:  Mathematical Physics,  Quantum Physics 
@article{0506057,
     author = {Saniga, Metod and Planat, Michel},
     title = {Hjelmslev Geometry of Mutually Unbiased Bases},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506057}
}

Saniga, Metod; Planat, Michel. Hjelmslev Geometry of Mutually Unbiased Bases. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506057/