Quantum Topology Optimization: An Adaptive Optimization Approach
Jincheng Zhang
Abstract
Quantum Topology Optimization (QTO) is a novel optimization technique based on the principles of quantum topology, offering a promising avenue for addressing complex optimization problems. This paper explores the application of QTO to optimize quantum systems, highlighting its unique capabilities and potential advantages over conventional optimization methods. We present a core mechanism utilizing quantum topology to dynamically adjust system parameters, leading to improved performance. The paper details the methodology, provides a conceptual overview of the underlying physics, and offers a preliminary assessment of the method's effectiveness through theoretical analysis and simulation. The core claim is that QTO provides a more precise and robust optimization approach, particularly for systems exhibiting intricate topological structures.