Quantum Topology: Geometric Modeling and Computation
Jincheng Zhang
Abstract
Quantum Topology, a novel approach to geometric modeling and computation, leverages the inherent properties of quantum topology to construct efficient computational frameworks. This paper introduces a framework that utilizes quantum topological structures to optimize geometric models, offering a significant advancement over traditional methods. We detail the core mechanism, encompassing the construction of a quantum computational model based on topological principles, and present preliminary results demonstrating enhanced computational efficiency. The paper concludes with a discussion of the potential implications and future directions of this research.