Nonlinear Control Theory and Quantum System Modeling: A Combined Approach

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the integration of nonlinear control theory with quantum system modeling, presenting a novel approach to designing and optimizing control strategies for quantum systems. The core claim centers on leveraging the optimization techniques within nonlinear control theory to address the inherent complexities of quantum system dynamics. The mechanism involves formulating quantum systems' nonlinear dynamics into equivalent control problems, subsequently employing nonlinear control theory's optimization methods for solution. This combined approach promises enhanced precision and efficiency in quantum system control. The work demonstrates a theoretical framework for tackling this challenge, paving the way for future research and practical applications in areas such as quantum computing and quantum sensing. The key mathematical concepts utilized are presented, including Hamiltonian formalism, Liouville-Perron equation, and nonlinear control theory formulations. The final results offer a pathway to more effective manipulation of quantum states.

DOI: 10.5281/zenodo.22473944

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