Dimension Generalization and Quantum Entanglement: A Novel Framework for Geometry and Quantum Information

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the convergence of dimension generalization and quantum entanglement, proposing a novel framework for creating and manipulating high-dimensional spaces utilizing quantum entanglement. Traditional dimensionality reduction methods often struggle with the inherent complexities of high-dimensional data, while the potential of quantum entanglement offers a pathway to fundamentally alter geometric relationships. This work introduces a new mechanism, termed "dimension anchoring," that leverages entangled quantum states to dynamically adjust dimensional parameters, bypassing the need for direct manipulation of the underlying geometric structure. We demonstrate the framework's potential for generating novel geometric structures and, critically, for exploiting entanglement to enhance quantum information security. This research aims to provide a new perspective on dimensionality reduction, quantum computation, and secure communication by integrating these two powerful fields.

DOI: 10.5281/zenodo.22267847

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