Quantum Hamiltonian Identification with Classical Colored Measurement Noise
For quantum system identification, this work addresses the practical issue of colored measurement noise, but the method is incremental as it extends existing techniques.
The paper presents a Hamiltonian identification method for closed quantum systems with colored measurement noise, using an augmented system model and Eigenstate Realization Algorithm. The method is validated on a two-qubit system example.
In this paper, we present a Hamiltonian identification method for a closed quantum system whose time trace observables are measured with colored measurement noise. The dynamics of the quantum system are described by a Liouville equation which can be converted to a coherence vector representation. Since the measurement process is disturbed by classical colored noise, we introduce an augmented system model to describe the total dynamics, where the classical colored noise is parameterized. Based on the augmented system model as well as the measurement data, we can find a realization of the quantum system with unknown parameters by employing an Eigenstate Realization Algorithm. The unknown parameters can be identified using a transfer-function-based technique. An example of a two-qubit system with colored measurement noise is demonstrated to verify the effectiveness of our method.