Lipschitz Cost of Quantum Channels on von Neumann Algebras

Explore a 44-minute lecture by Roy Araiza from the University of Illinois at Urbana-Champaign titled "Lipschitz Cost of Quantum Channels on von Neumann Algebras," recorded on April 28, 2025, at IPAM's Dynamics of Density Operators Workshop. Discover a framework for quantifying the Lipschitz cost of quantum channels on von Neumann algebras, inspired by quantum optimal transport theory. Learn about the fundamental properties of this cost measure and how it can be used to derive effective lower bounds for gate complexities and simulation costs in both Hamiltonian simulations and open system dynamics. For more information about this workshop, visit the Institute for Pure & Applied Mathematics (IPAM) website at UCLA.