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Algebras in Analysis
February 22, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.

On the existence of quantum anticliques for non-commutative operator graphs

G. G. Amosov

Abstract: In quantum information theory, operator systems $V$ are called non-commutative operator graphs. The talk will be devoted to the question of existence of orthogonal projections $P$, $\mathop{\mathrm{dim}}P>1$, with the property $\mathop{\mathrm{dim}}PVP=1$. Such projections are sometimes called quantum anticliques.