The Ising Hamiltonian offers a versatile model for studying the microscopic behavior of several material systems. Here we study an Ising Hamiltonian on a geometrically-frustrated Shastry-Sutherland lattice which has been used to explain the magnetic properties in the rare-earth tetraborides. Using quantum Monte-Carlo calculations to validate our results, this work indicates that quantum annealing provides a versatile method of material simulation that can accelerate scientific discovery.