Quantum Computing Geometric Modeling
Jincheng Zhang
Abstract
This paper explores the application of quantum computing to geometric modeling, specifically focusing on the design of a dynamic geometry modeling system capable of generating complex geometric shapes automatically. Traditional geometric modeling approaches often rely on predefined rules and limitations, while this research introduces a novel quantum computing-driven approach that dynamically adjusts geometric parameters to achieve complex shapes. We detail the core mechanism – utilizing quantum entanglement and superposition to represent and manipulate geometric data – and present preliminary results demonstrating the system's ability to generate intricate shapes with improved efficiency and adaptability. The paper concludes with a discussion of future research directions and potential impacts on various fields.