  When solving propositional logic satisfiability (specifically 3SAT) using
quantum annealing, we analyze the effect the difficulty of different instances
of the problem has on the quality of the answer returned by the quantum
annealer. A high-quality response from the annealer in this case is defined by
a high percentage of correct solutions among the returned answers. We show that
the phase transition regarding the computational complexity of the problem,
which is well-known to occur for 3SAT on classical machines (where it causes a
detrimental increase in runtime), persists in some form (but possibly to a
lesser extent) for quantum annealing.

Emerging Technologies;Computational Complexity;Quantum Physics