aiqbench analysis

The paper proposes spectral metrics (normalized minimum Hamiltonian eigenvalue separation and long-time averaged minimum unitary eigenvalue separation) for predicting QAOA mixer quality from topology alone. Its key caveat is that these predictions hold only when the problem has no hidden structure within the cost Hamiltonian; otherwise, mixer choice must be matched to the specific problem. For practitioners, this suggests structure-agnostic mixer selection has limits, though the results are based on specific graph families (complete graphs, hypercubes, cycles, tori) and need broader validation.