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PIRSA:22110094

Gibbs Sampling of Periodic Potentials on a Quantum Computer

APA

Motamedi, A. (2022). Gibbs Sampling of Periodic Potentials on a Quantum Computer. Perimeter Institute for Theoretical Physics. https://pirsa.org/22110094

Arsalan Motamedi University of Waterloo

Talk numberPIRSA:22110094
Talk Type Conference

Abstract

"Motivated by applications in machine learning, we present a quantum algorithm for Gibbs sampling from continuous real-valued functions defined on high dimensional tori. We show that these families of functions satisfy a Poincare inequality. We then use the techniques for solving linear systems and partial differential equations to design an algorithm that performs zeroeth order queries to a quantum oracle computing the energy function to return samples from its Gibbs distribution. We further analyze the query and gate complexity of our algorithm and prove that the algorithm has a polylogarithmic dependence on approximation error (in total variation distance) and a polynomial dependence on the number of variables, although it suffers from an exponentially poor dependence on temperature."