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Journal of Automation and Intelligence

Lyapunov-based fixed-time stabilization control of quantum systems

Xiaolei Li, Changyun Wen, Jian‐Ge Wang

Published Dec 1, 2022• 22 citations
Publisher

Abstract

In this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form of coherence vectors. Then for a two-level quantum system with single control input, a non-smooth fractional-order control law is designed using the relative state distance. By integrating the fixed-time Lyapunov control technique and the bi-limit homogeneity theory, the quantum system is proved to be stabilized to an eigenstate of the inherent Hamiltonian in a fixed time. Comparing with existing methods in quantum system control, the proposed approach can guarantee stabilization in a fixed time without depending on the initial states.

DOI
10.1016/j.jai.2022.100005

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