Thursday, March 20, 2025 4:00 pm
-
5:00 pm
EDT (GMT -04:00)
Meenakshi McNamara, Perimeter Institute for Theoretical Physics
Exact quantum chromatic numbers of Hadamard graphs and products
Quantum chromatic numbers are defined in terms of non-local games on graphs. This talk gives a proof of the exact quantum chromatic number of Hadamard graphs using a conjugacy class graphs approach. This further allows us to consider graph products, and we compute the exact quantum chromatic number of the categorical product of Hadamard graphs. This work makes use of several results for the quantum chromatic numbers of quantum graphs, an operator algebraic generalizations of graphs. In particular, we also discuss results on products of quantum graphs from joint work with Rolando de Santiago.
MC 5417