Abtract: Machine learning using neural networks is a very powerful methodology which has demonstrated utility in many different situations. In this talk I will show how work in the mathematical discipline called topological data analysis can be used to (1) lessen the amount of data needed in order to be able to learn and (2) make the computations more transparent. We will work primarily w...
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...