Model discrimination for dephasing two-level systems

TL;DR

This paper develops criteria for distinguishing between different models of dephasing two-level quantum systems using analytic solutions of the Bloch equations, aiding in experimental model discrimination and parameter estimation.

Contribution

It provides explicit analytic expressions for observables under various models, enabling improved model discrimination and parameter estimation in quantum control experiments.

Findings

Derived explicit expressions for observables in different models.

Established criteria for model discrimination based on experimental data.

Enhanced methods for parameter estimation in dephasing two-level systems.

Abstract

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.