Quantum Topology Geometric Modeling
Jincheng Zhang
Abstract
Quantum Topology Geometric Modeling explores the intersection of quantum mechanics and geometric modeling, aiming to develop a novel approach to describing and predicting the evolution of quantum systems. The core claim posits that by leveraging the unique geometric properties of quantum topology, we can significantly enhance the accuracy and predictive power of existing quantum simulations. This research focuses on constructing a self-similar geometric model that captures the essential topological features of quantum systems, facilitating a deeper understanding of their dynamics. The paper introduces a method for generating these models, emphasizing the potential of this approach to advance the field of quantum computation and provide a foundational step towards more robust and versatile quantum simulations.