Abstract:The Brascamp-Lieb inequalities are deep and beautiful inequalities on Euclidean spaces introduced by Brascamp and Lieb in 1976. They cover many fundamental and important inequalities such as Hölder's inequality, the Loomis-Whitney inequality, Young's inequality, etc. In this talk we give a short introduction to the Brascamp-Lieb inequalities and their applications. We prove one type o...
摘要: One of the most basic tasks to characterize analog quantum simulators is to estimate the many-body fidelity between an ideal target state and the state obtained from experiments. In this talk, I will present a simple and efficient benchmarking method that requires minimal experimental control. It only requires time-evolving a quantum system under its natural ergodic dynamics, followed b...