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Dimensional Generalization and Quantum Entanglement: A Novel Approach

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

This paper explores the potential of dimensionality generalization and quantum entanglement to revolutionize the field of quantum computing. We propose a novel model based on the concept of "quantum topology" – a framework that utilizes entangled states to dynamically reshape the geometry of higher-dimensional spaces. This model aims to create new mathematical functions and geometric transformations, offering a pathway to more stable and complex quantum states. The study details the implementation of this approach, examining its implications for quantum computation and the potential for emergent quantum phenomena. The core mechanism hinges on the manipulation of entangled states to define a dynamic, multi-dimensional space, opening avenues for novel mathematical analysis and quantum algorithms.

DOI
10.5281/zenodo.22469030

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This paper explores the application of high-dimensional topology in modeling quantum entanglement. The core focus is to establish a novel quantum entanglement model within a high-dimensional topological space, aiming to enhance the precision and stability of entanglement measurements. Existing quantum entanglement models often struggle with the inherent complexities and inherent fragility of entangled states. We propose a framework utilizing the geometric properties of high-dimensional topology to mitigate these challenges, focusing on creating a robust and precise entanglement representation. The paper details the methodology, demonstrates preliminary results through mathematical analysis, and discusses the potential implications for future research and practical applications.