Two-Qubit Hamiltonian Tomography by Bayesian Analysis of Noisy Data

Understand

We present an empirical strategy to determine the Hamiltonian dynamics of a two-qubit system using only initialization and measurement in a single fixed basis.

• Signal parameters are estimated from measurement data using Bayesian methods from which the underlying Hamiltonian is reconstructed, up to three unobservable phase factors.
• We extend the method to achieve full control Hamiltonian tomography for controllable systems via a multi-step approach.
• The technique is demonstrated and evaluated by analyzing data from simulated experiments including projection noise.