基于动态的自适应几何拓扑的量子系统模拟

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces a novel method for quantum system simulation leveraging dynamic geometric transformations and quantum mechanics. Traditional methods often struggle with the complexities of non-linear dynamics, necessitating approximations that compromise accuracy. This work proposes a new approach that dynamically adapts geometric structures to represent the system's evolution, effectively mitigating these limitations. The core mechanism focuses on generating and manipulating geometric representations that capture the system's response to perturbations, enhancing the fidelity of simulation. The paper details the methodology, provides a theoretical framework for geometric transformations, and presents preliminary results demonstrating improved simulation accuracy compared to existing techniques, especially for systems exhibiting complex, non-linear behaviors. The underlying principles are rooted in the concept of self-similarity and the application of topological invariants, offering a pathway towards a more robust and insightful quantum simulation paradigm. We explore the potential of this approach to model systems with intricate dynamics and highlight its advantages in handling challenging scenarios.

DOI: 10.5281/zenodo.22636232

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