On General Properties of Non-Commutative Operator Graphs

In this paper we study the general properties of non-commutative operator graphs. The problem of the existence of quantum anticliques is considered. The covariant property for the resolution of the identity which generates the graph is investigated.

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2018-04, Vol.39 (3), p.304-308
Main Author: Amosov, G. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Graphs
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Description
Summary:In this paper we study the general properties of non-commutative operator graphs. The problem of the existence of quantum anticliques is considered. The covariant property for the resolution of the identity which generates the graph is investigated.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080218030095