Dynamic Quantum Topology: Geometric Modeling and Algorithm Optimization
Jincheng Zhang
Abstract
Dynamic quantum topology offers a novel approach to geometric modeling by leveraging quantum algorithms to dynamically adjust the topology of a system. This research investigates the application of such algorithms to establish a highly efficient geometric model, enabling precise optimization of transformation processes. The core mechanism centers around the iterative refinement of a quantum-guided topology, resulting in enhanced geometric precision and improved algorithm efficiency. This work presents a framework for dynamic topology manipulation, paving the way for advanced geometric modeling techniques with significant potential in diverse fields, including computational geometry, materials science, and data compression.