Model discrimination for dephasing two-level systems

• Analytic expressions for observables of driven, dephasing two-level systems.
• Distinguishability of dephasing models via Rabi-oscillation experiments.
• General identifiability of model parameters and cases of failure.
• Application to empirically determine of effect of driving on dephasing basis.
• Importance for optimal design of coherent controls for qubits subject to dephasing.

The problem of model discriminability and parameter identifiability for dephasing two-level systems subject to Hamiltonian control is studied. Analytic solutions of the Bloch equations are used to derive explicit expressions for observables as functions of time for different models. This information is used to give criteria for model discrimination and parameter estimation based on simple experimental paradigms.