Extracting the Nishimori line in Random-Bond Ising Models with Quantum Annealing

Quantum annealing has emerged as a powerful tool in optimization as well as quantum simulations. When annealing very slowly, quantum annealers can effectively act as Boltzmann samplers for classical Ising models, making them valuable tools for studying equilibrium statistical mechanics of frustrated and disordered systems. Building on recent studies of criticality in the piled-up-dominoes model, we study spin-glass properties in the random bond Ising model. We investigate the Nishimori line, where local gauge invariance enables analytical computation of physical quantities. We demonstrate that it is possible to quantitatively extract the Nishimori line and the multicritical point in both the two and three-dimensional models using superconducting quantum annealers.