Adaptive Multi-Body Quantum Dynamics, Based on Topological Structure
Jincheng Zhang
Abstract
This paper introduces a novel adaptive multi-body quantum dynamics algorithm based on topological structure, designed to address challenges in simulating complex quantum systems. Traditional methods often rely on manual design, limiting the applicability of these simulations. Our algorithm leverages the inherent topological properties of the system to automatically optimize the system's structure, enabling high-precision and scalable simulations. We present a framework that incorporates a dynamic optimization loop, guided by topological constraints, to achieve robust and efficient modeling. The core mechanism centers around the construction and optimization of a topological map, providing a powerful tool for predicting and simulating quantum systems. We demonstrate the effectiveness of this approach through extensive simulations and analysis, showcasing its potential for tackling complex quantum problems.