基于非线性几何拓扑的量子计算模拟
Jincheng Zhang
Abstract
This paper explores the application of non-linear geometric topology to quantum computing simulation, aiming to address challenges inherent in traditional simulation methods. We propose a novel approach that leverages quantum computation's unique capabilities to model complex systems exhibiting quantum effects. The core idea centers around employing topological properties to simplify the computational landscape, offering potential improvements in efficiency and the representation of quantum phenomena. This research focuses on designing a simulation framework that incorporates the principles of non-linear geometry and topology, aiming to enhance the fidelity and interpretability of quantum system simulations. We present a conceptual design, detailing the underlying mathematical principles and potential challenges. The paper concludes with a discussion of the implications of this approach for future quantum computing research.