Quantum Topology Geometry: A Graph-Based Computational Framework
Jincheng Zhang
Abstract
Quantum Topology Geometry (QTG) represents a novel computational framework based on graph theory, specifically leveraging the inherent topological properties of quantum systems to achieve algorithmic optimization and novel calculation methods. This paper introduces a robust and adaptable computational engine predicated on mapping complex quantum geometry to graph structures, facilitating automated algorithm design and efficient computation. The core mechanism focuses on utilizing graph properties to guide the optimization of quantum algorithms, offering a significant advancement over traditional approaches. We present a practical implementation of the framework, demonstrating its efficacy in various quantum computation tasks, highlighting its potential to accelerate research and development in quantum information science.