  By analyzing the characteristics of hardware-native Ising Models and their
performance on current and next generation quantum annealers, we provide a
framework for determining the prospect of advantage utilizing adiabatic
evolution compared to classical heuristics like simulated annealing. We conduct
Ising Model experiments with coefficients drawn from a variety of different
distributions and provide a range for the necessary moments of the
distributions that lead to frustration in classical heuristics. By identifying
the relationships between the linear and quadratic terms of the models,
analysis can be done a priori to determine problem instance suitability on
annealers. We then extend these experiments to a prototype of D-Wave's next
generation device, showing further performance improvements compared to the
current Advantage annealers.
