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Algebras in Analysis
October 19, 2018 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.
 


On non-commutative operator graphs generated by covariant resolutions of identity

G. G. Amosov

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Abstract: In quantum information theory, operator systems are commonly called non-commutative operator graphs. Their elements are viewed as a source of errors that can occur in the transmission of information. The well-known problem of finding error-correcting codes (E. Knill, R. Laflamme' 1997) leads to the notion of a quantum anticlique. The report will describe the non-commutative operator graphs generated by reducible unitary representations of the circle group and the discrete Heisenberg-Weyl group, for which there are quantum anticliques.

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