  We investigate the computational efficiency and thermodynamic cost of the
D-Wave quantum annealer under reverse-annealing with and without pausing. Our
experimental results demonstrate that the combination of reverse-annealing and
pausing leads to improved computational efficiency while minimizing the
thermodynamic cost compared to reverse-annealing alone. Moreover, we find that
the magnetic field has a positive impact on the performance of the quantum
annealer during reverse-annealing but becomes detrimental when pausing is
involved. Our results provide strategies for optimizing the performance and
energy consumption of quantum annealing systems employing reverse-annealing
protocols.
