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okay thanks for the introduction so this is a chance to work with angel child from all different institutes so let me start with some motivating questions so what we can do with uh with thought following quantum computers we can of course uh break our crypto systems using uh by Factory integers and we can also simulate Quantum Dynamics we can speed up the machine learning optimization and the scientific computation for example we can solve linear systems faster than classical computers and we can also sample from some probabilities probability distributions faster than classical computers so this is the focus of this talk so let me first tell you something about the relationship between classical sampling and Quantum sampling okay so suppose we have a probability distribution row whose probabilities are P0 P1 up to p b minus one and the natural idea for example for using a quantum computer to sample from this distribution is to prepare this Quantum state where we just encode the probab
