Krylov Complexity from Circuit Complexity and from Instantons

Explore the intricate connections between Krylov complexity, circuit complexity, and instantons in this 53-minute conference talk delivered as part of the Program on Anomalies, Topology and Quantum Information in Field Theory and Condensed Matter Physics. Delve into advanced theoretical physics concepts as the speaker examines how Krylov complexity emerges from circuit complexity frameworks and its relationship to instanton configurations. Gain insights into cutting-edge research at the intersection of quantum information theory, field theory, and condensed matter physics, with particular focus on complexity measures and their mathematical foundations in quantum systems.