Dynamic Topology Geometry Optimization Algorithm for Quantum Acceleration
Jincheng Zhang
Abstract
This paper investigates the potential of dynamic topology geometry optimization (DTGO) algorithms to accelerate computations using quantum computing. Traditional geometric optimization algorithms often struggle with scalability and convergence, particularly when dealing with complex geometries. We propose a novel DTGO algorithm that leverages quantum mechanics to enhance the search process, offering a potential pathway to significantly speed up optimization tasks. The core mechanism focuses on exploiting quantum phenomena such as superposition and entanglement to explore a wider search space and improve the efficiency of the optimization process. The paper details the algorithm's design, implementation, and preliminary results demonstrating improved performance compared to classical algorithms in specific test cases. We conclude by discussing the future directions of this research and its implications for quantum computing applications.