Coherent oscillations in the annealing of a flux qubit

Annealing of a single qubit under certain schedules can reveal characteristics related to the coherence of a 2-level system in the form of oscillations in the success probability vs anneal time.
We study how these characteristics appear in a multi-level superconducting flux qubit by mapping the Ising coefficients to qubit control fluxes.
We investigate the effects of higher energy levels on the problem, and analyze the possibility of an experimental implementation using state-of-the-art flux qubits.