3 papers
math.QA2026
Complex Hadamard Matrices - Quantum Symmetries, Equivalence and Non-Local Games
Michael Brannan, Daniel Gromada, Roberto Hernández Palomares +1
We consider quantum group generalizations of the action of monomial matrices on complex Hadamard matrices. This gives rise to various notions of quantum symmetries and quantum equi…
math.QA2026
Quantum association schemes
Daniel Gromada
We introduce quantum association schemes. This allows to define distance regular and strongly regular quantum graphs. We bring examples thereof. In addition, we formulate the duali…
math.OA2025
A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs
Michael Brannan, Daniel Gromada, Junichiro Matsuda +2
We establish a quantum version of Frucht's Theorem, proving that every finite quantum group is the quantum automorphism group of an undirected finite quantum graph. The constructio…