Counterdiabatic Driving for Efficient Quantum Solutions to the Maximum Independent Set Problem

This study explores the use of counterdiabatic driving in quantum annealing, focusing on its role in solving the maximum independent set (MIS) problem. We will show that counterdiabatic driving significantly enhances the overlap with the target solution. The work also highlights the potential of nested commutator, Krylov subspace, methods to approximate counterdiabatic driving, leading to more efficient computational strategies and implementations in experiments. These findings hold the promise of advancing quantum annealing capabilities and bringing the possibilities of applying these methods to a variety of other systems in the realm of quantum computing.