Non-trivial quantum cellular automata in 3 dimensions

Speaker: Lukasz Fidkowski, Univ. of Washington

Title: Non-trivial quantum cellular automata in 3 dimensions

Abstract: Motivated by studying the entanglement structure of certain symmetry protected topological phases, we construct a non-trivial quantum cellular automaton in a Hilbert space for a 3d lattice of spin 1/2 degrees of freedom. This is an operator which takes local operators to nearby local operators, but is not locally generated. We discuss implications for the classification of SPT phases in equilibrium and Floquet settings.