4 citations · 5 across the 6 of their papers we have counts for
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On the structutre of the algebra generated by the non-commutative operator graph demonstrating superactivation for a zero-error capacity
Grigori G. Amosov, I. Yu. Zhdanovskiy
Recently M.E. Shirokov introduced the non-commutative operator graph depending on the complex parameter to construct channels with positive quantum zero-error capacity having v…
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…
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…
Coherence of relatively quasi-free algebras
Alexey Bondal, Ilya Zhdanovskiy
We prove coherence of relatively quasi-free algebras over noetherian rings. Chase criterion for coherence is used.