Dive into the world of quantum computing with this comprehensive lecture on Quantum Cellular Automata presented by Matthew Hastings from Microsoft Research. Recorded on September 1, 2021, as part of IPAM's Graduate Summer School on Mathematics of Topological Phases of Matter at UCLA, this 71-minute talk provides an in-depth introduction to the fascinating field of Quantum Cellular Automata. Explore the intersection of quantum mechanics and cellular automata, gaining insights into their mathematical foundations and potential applications in topological phases of matter. Enhance your understanding of advanced quantum concepts and their relevance to cutting-edge research in physics and computer science.