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Mutually Unbiased Bases and Finite Projective Planes

Metod Saniga, Michel Planat, Haret Rosu

math-pharXiv:math-ph/0403057

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.

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