Hybrid seminar at McGill University or Zoom.

This is the third part of the introduction to Quantum Mean Field Games. In this talk, we focus on the dynamics and the mean-field limit of large-scale interacting quantum systems. To address the intractable N-body Stochastic Master Equation (SME) describing a network of quantum agents, we will introduce the concept of the partial trace as a tool to extract the state of a representative agent from the entangled whole and present Kolokoltsov's Quantum Law of Large Numbers (or propagation of chaos), which proves that the reduced state of any single particle converges to a deterministic limit described by a nonlinear Quantum McKean-Vlasov equation. We will discuss the derivation of this limiting equation and the associated convergence rates.

Biography: Tao Zhang is a Ph.D. student in the Department of Electrical and Computer Engineering at McGill University, supervised by Professors Peter Caines and Aditya Mahajan. His research focuses on mean-field game theory in network systems.