Mutually Unbiased Bases and Finite Projective Planes

Metod Saniga (1, 2) , Michel Planat (2) , Haret Rosu (2, 3)

1 Astronomical Institute of the Slovak Academy of Sciences
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
3 IPICYT - Potosinian Institute of Scientific and Technological Research

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.

Domaines: Physique mathématique [math-ph]; Physique Quantique [quant-ph]

Metod Saniga, Michel Planat, Haret Rosu. Mutually Unbiased Bases and Finite Projective Planes. Journal of Optics B Quantum and Semiclassical Optics, 2004, 6, pp.L19-L20. ⟨hal-00001371v2⟩