1 citations · 1 across the 5 of their papers we have counts for
5 papers
Representation stability for compact and discrete quantum groups
Michael Brannan, Junichiro Matsuda, Erik Séguin
We study approximate representations of locally compact quantum groups and prove stability results in the sense of Ulam in this context. Our main result is that compact and amenabl…
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…
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…
Quantum expanders and property (T) discrete quantum groups
Michael Brannan, Eric Culf, Matthijs Vernooij
Families of expander graphs were first constructed by Margulis from discrete groups with property (T). Within the framework of quantum information theory, several authors have gene…
Quantum graphs, subfactors and tensor categories I
Michael Brannan, Roberto Hernández Palomares
We develop an equivariant theory of graphs with respect to quantum symmetries and present a detailed exposition of various examples. We portray unitary tensor categories as a unify…