Quantum-Enhanced Geometric Simulation of Non-Linear Systems
Jincheng Zhang
Abstract
Quantum-enhanced geometric simulation aims to revolutionize the modeling of complex, non-linear systems by leveraging the unique properties of quantum mechanics. This paper explores the potential of utilizing quantum entanglement to stabilize and improve the accuracy of geometric simulations, addressing key challenges in current computational methods. We introduce a novel quantum algorithm designed to enhance the fidelity of geometric representations, offering a pathway to more robust and insightful simulations. The paper details the theoretical framework, the algorithm's implementation, and preliminary experimental results demonstrating the algorithm's effectiveness in simulating specific non-linear systems. The core claim is that entanglement provides a transformative means to overcome limitations inherent in classical geometric simulation, leading to significant improvements in stability and accuracy.