

Algebras in Analysis
October 19, 2018 18:05–19:35, Moscow, Lomonosov Moscow State University, room 1320.






On noncommutative 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 noncommutative operator graphs. Their elements are viewed as a source of errors that can occur in the transmission of information. The wellknown problem of finding errorcorrecting codes (E. Knill, R. Laflamme' 1997) leads to the notion of a quantum anticlique. The report will describe the noncommutative operator graphs generated by reducible unitary representations of the circle group and the discrete HeisenbergWeyl group, for which there are quantum anticliques.

