Modeling Coherent Oscillations in the Ground State Probability of Annealed Qubits

The ground state amplitude of an annealed qubit oscillates as a function of the anneal time away from the adiabatic limit. We propose and characterize classes of anneal schedules that exhibit experimentally accessible oscillations as signatures of quantum coherence of a qubit, presenting both time-dependent perturbation theoretic analysis and open system results.