Explore the concepts of operator delocalization and scrambling in quantum networks through this 29-minute lecture by Dario Rosa from the PCS Institute for Basic Science. Delve into the distinction between operator delocalization and the more conventional notion of operator growth. Discover how free quantum mechanical systems, when defined on sufficiently connected networks, can exhibit non-trivial delocalization properties. Examine the connection between operator delocalization and the concepts of operator scrambling and quantum chaos. Gain insights into these advanced topics in quantum mechanics and their implications for understanding complex quantum systems.