Designs and pseudorandom unitaries

Thomas Schuster’s research lies at the interface of quantum information science and quantum many-body physics. His work focuses on quantum technologies and their potential applications. He is currently a Sherman Fairchild Postdoctoral Scholar at the California Institute of Technology and a Visiting Researcher at Google Quantum AI. He received his Ph.D. in Physics from the University of California, Berkeley, where he worked with Professor Norman Y. Yao.

When can quantum systems look completely random - and what does this reveal about quantum computing and physics? This tutorial examines these questions through the lens of unitary designs and pseudorandom unitaries. Thomas Schuster will survey the surprising behaviors and applications that have made random unitaries a cornerstone of quantum information science, and explore recent discoveries on their complexity and emergence.