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math.AG2015
Orthogonal pairs and mutually unbiased bases
Alexey Bondal, Ilya Zhdanovskiy
The paper is devoted to representation theoretic and algebraic geometric aspects of the theory of orthogonal decompositions of Lie algebra sl(n) into Cartan subalgebras orthogonal…
math.AG2015
Symplectic geometry of unbiasedness and critical points of a potential
Alexey Bondal, Ilya Zhdanovskiy
The goal of these notes is to show that the classification problem of algebraically unbiased system of projectors has an interpretation in symplectic geometry. This leads us to a d…