Quantum cellular automata (QCA) are models of discrete-time unitary dynamics of quantum spin systems. They can be characterized algebraically as certain automorphisms of the associative algebra generated by local observables of a spin system. We will give a gentle introduction to this topic, and explain some of our recent contributions to the problem of classification of short range entangled phases of QCA for fusion spin chains.

Speaker’s webpage: https://www.coreyjonesmath.com