Publication
Performance of a Quantum Annealer on Range-Limited Constraint Satisfaction Problems

A.D.King, et al.

The performance of a D-Wave Vesuvius quantum annealing processor was recently compared to a suite of classical algorithms on a class of constraint satisfaction instances based on frustrated loops. However, the construction of these instances leads the maximum coupling strength to increase with problem size. As a result, larger instances are subject to amplified analog control error, and are effectively annealed at higher temperatures in both hardware and software. We generate similar constraint satisfaction instances with limited range of coupling strength and perform a similar comparison to classical algorithms. On these instances the D-Wave Vesuvius processor, run with a fixed 20µs anneal time, shows a scaling advantage in the median case over the software solvers for the hardest regime studied. This scaling advantage implies that quantum speedup is not ruled out for these problems. Our results support the hypothesis that performance of D-Wave Vesuvius processors is strongly influenced by analog control error, which can be reduced and mitigated as the technology matures.