Séminaire hybride à l'Université McGill ou Zoom.

This talk introduces the mathematical formalism of quantum theory as a powerful tool for describing quantum uncertainty. We will cover foundational concepts, including states as vectors in a Hilbert space, the superposition principle as a model for cognitive indecision, and the density operator as a general descriptor for both pure and mixed states, via the simple qubit system example and its visualization on the Bloch sphere. Finally, we introduce the concepts of the tensor product and entanglement to explain how multi-agent systems are described and why they pose a fundamental challenge to classical mean-field theories, setting the stage for Quantum Mean Field Games.

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.