Mutually Unbiased Bases and Finite Projective Planes
arXiv:math-ph/0403057 · doi:10.1088/1464-4266/6/9/L01
Abstract
It is conjectured that the question of the existence of projective planes whose order is not a power of prime is intimately linked with the problem whether there exists a set of d+1 mutually unbiased bases in a d-dimensional Hilbert space if d differs from a power of prime.
2 pages, no figures