Quantum Cellular Automata - Understanding Evolution in Lattice Systems

Watch a Harvard CMSA special seminar where Stanford University's Jeongwan Haah explores the fascinating world of Quantum Cellular Automata (QCA). Delve into the concept of discrete time evolution on lattice systems with lightcone properties, starting with the fundamental example of 1D lattice translation. Learn how this seemingly simple system demonstrates nontrivial behavior that cannot be explained through local Hamiltonian evolution. Discover more complex QCA manifestations in higher dimensions and their connections to topological phases of matter. Gain insights into the current understanding of QCA systems, with particular emphasis on the significance of locally generated simple subalgebras. This 76-minute lecture provides an in-depth examination of QCA's scope and the remaining questions in this developing field of quantum physics.