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High-Order Geometry Quantum Simulation

Jincheng Zhang

Published Sep 3, 2026• 0 citations
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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.

DOI
10.5281/zenodo.22271549

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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.
This paper explores the potential of high-order geometry as a foundation for quantum information encoding. We propose a novel framework leveraging geometric structures to represent and manipulate quantum states, aiming to deepen our understanding of quantum information itself. The core mechanism involves utilizing high-order geometric properties to induce specific quantum behavior within a system. This investigation addresses the potential of high-order geometry to provide a new and potentially transformative approach to quantum information processing. This work focuses on the design of a quantum information encoding scheme predicated on the inherent geometric properties of quantum systems.
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