Mutually Unbiased Bases and Finite Projective Planes

Physics – Mathematical Physics

Scientific paper

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2 pages, no figures

Scientific paper

10.1088/1464-4266/6/9/L01

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.

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