Lyapunov Control of Quantum Systems Based on Energy-Level Connectivity Graphs

Date

2019

Authors

Kuang, Sen
Dong, Daoyi
Petersen, Ian

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

This paper proposes a new multilayer Lyapunov control scheme based on energy-level connectivity graphs of quantum systems, which enables a high-probability population transfer to any eigenstate in high-dimensional quantum systems. We provide a graph connectivity result for stability analysis and explore the selectivity characteristic of the Lyapunov control fields. A systematic layering method for the energy-level connectivity graph is presented to achieve a layer-by-layer population transfer to the target state. Several applications including a five-level quantum system, a three-qubit superconducting system, and a spin chain of five qubits are presented to demonstrate the effectiveness of the multilayer Lyapunov control method

Description

Keywords

Energy-level connectivity graph, Lyapunov control, quantum systems, selective population transfer

Citation

Source

IEEE Transactions on Control Systems Technology

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/TCST.2018.2871186

Restricted until

2099-12-31