Jack Raymond - D-Wave Systems Simulation of quantum magnetic systems in the vicinity of phase transitions is a central problem in condensed matter physics. Quantum simulation of frustrated magnetic lattices in the transverse-field Ising model is a natural fit for quantum annealing processors, which are now available at the 2000-qubit scale. In this talk I will discuss experimental results on quantum simulation of two-dimensional (Nature 560 pp 456--460) and three-dimensional (Science 165 pp 162--165) lattices using quantum annealing processors in non-annealing modes. These experiments probe, respectively, a topological Kosterlitz-Thouless phase transition and paramagnet/ordered/spin-glass phase transitions.