Work

Quantum Hamiltonian Identification With Classical Colored Measurement Noise

Year: 2020

Type: article

Abstract: In this brief, 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 that can be converted into 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 shown to verify the effectiveness of our method.

Source: IEEE Transactions on Control Systems Technology

DOI: 10.1109/tcst.2020.2991611

Authors: Lingyu Tan, Daoyi Dong, Dewei Li, Shibei Xue

Institutions: Shanghai Jiao Tong University, UNSW Canberra

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality, Australian Research Council, Office of Naval Research Global

Awards: Efficient and high-precision system identification in quantum cybernetics, G6139276767, G7231535994, G7272683182, G8345574576