Geometric Optimization via Quantum Simulation
Jincheng Zhang
Abstract
This paper explores the application of quantum simulation to the optimization of geometric shapes and structures. We propose a novel approach that leverages the unique properties of quantum algorithms to significantly accelerate the optimization process compared to classical methods. The core of our work involves constructing a quantum simulation framework, utilizing quantum algorithms to effectively explore the solution space and identify optimal configurations. We demonstrate the potential of this methodology to address challenges in geometric optimization, offering a promising path toward more efficient and insightful solutions. The research underscores the potential of quantum simulation to revolutionize geometric problem-solving.