High-Order Geometry Quantum Simulation
Jincheng Zhang
Abstract
This paper explores the potential of high-order geometry to provide a novel approach to quantum simulation, focusing on the study of quantum systems exhibiting high-order geometric structures. We propose a framework that leverages the inherent properties of high-order geometry to enhance the accuracy and interpretability of quantum simulations. The core mechanism involves constructing a quantum system based on high-order geometric principles, enabling a deeper understanding of the system's behavior through quantum computation. This work introduces a new methodology for investigating complex quantum phenomena and offers a potential pathway towards more sophisticated simulations. The paper concludes with a discussion of the challenges and future directions in this field.