Quantum-Enhanced Differential Geometry for Optimal Control

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum-enhanced differential geometry offers a novel approach to optimization, leveraging the principles of quantum mechanics to accelerate the discovery of optimal control strategies for complex systems. This paper explores the potential of applying quantum annealing and variational quantum eigensolver (VQE) to this domain, proposing a mechanism for improved solution space exploration and convergence. The core claim is that quantum algorithms can significantly enhance the efficiency of optimization, leading to faster and more effective control strategies. We will detail the theoretical framework, potential algorithms, and expected results, emphasizing the advantages offered by quantum mechanics compared to classical methods. The research will also address potential challenges and limitations, providing a comprehensive overview of the research.

DOI: 10.5281/zenodo.22184835

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