S. R. Mondal

Quantum Rigidity of Cayley Graphs: An Algebraic Approach via Schur Ring

A Cayley graph Γ=Cay(G,S) is a graphical regular representation (GRR) of G if Aut(Γ)=G acts regularly. We call Γ a quantum rigid if its quantum automorphism group also satisfies QAut(Γ)=G. We prove that a Cayley graph whose coherent (two-dimensional Weisfeiler–Leman) closure is thin is quantum rigid. For Cayley graphs...