Magnetic Hysteresis Experiments Performed on Quantum Annealers

Abstract: Quantum annealers have emerged as versatile and controllable platforms for experimenting on exotic spin systems that model quantum materials. However, quantum annealing experiments have yet to explore magnetic memory and hysteresis, features seemingly at odds with hardware designed to escape metastable states via quantum tunneling, favoring forgetfulness. Here, we present a general protocol to experiment on magnetic hysteresis in a transverse-field Ising model. We implement it on three D-Wave superconducting flux qubit annealers, using up to thousands of spins, and explore both ferromagnetic and disordered Ising models across contrasting graph topologies. Crucially, we observe robust memory retention in hysteresis loops, establishing quantum annealers as a platform for probing non-equilibrium emergent magnetic phenomena. This approach enables many topics of future exploration including return point memory and hysteresis in frustrated or topologically ordered systems, thus broadening the role of analog quantum computers into foundational questions in condensed matter physics.