Quantum Gibbs Samplers: Simulation and Convergence Analysis

Watch a technical lecture from the Simons Institute where Bowen Li from City University of Hong Kong explores quantum Gibbs samplers and their convergence properties. Delve into the development of efficient quantum sampling algorithms based on Lindblad dynamics and open-system dynamics, building upon Fagnola and Umanita's work on KMS detailed balanced Lindbladians. Learn about the advantages of these new samplers, including comparable simulation costs, enhanced design flexibility, and simplified implementation and error analysis. Examine the mixing properties of primitive hypocoercive Lindblad dynamics, including exponential decay estimates for L2-norm convergence through quantum space-time Poincare inequalities. Discover how adding coherent terms can enhance the convergence of Lindblad dynamics in quantum systems.