Dimensional Mapping and Quantum Topology

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the application of dimensionality mapping and quantum topology to revolutionize computational and information storage paradigms. The core of our work lies in the development of a novel algorithm, "Quantum Dimension Mapping," leveraging entangled quantum states for precise prediction and manipulation of high-dimensional space topology. We demonstrate the potential of this approach to achieve unprecedented accuracy in quantum state analysis, enabling the simulation and manipulation of complex quantum structures that are currently intractable with conventional methods. This research addresses a critical gap in both quantum computing and topological field, offering a pathway towards more powerful and versatile computational architectures. The algorithm's unique mechanism focuses on the precise measurement and control of entangled quantum states, yielding a predictive capability for high-dimensional topological structures. We present preliminary results showcasing the algorithm's effectiveness in predicting and manipulating specific topological features within a constrained space. This work lays the foundation for a new generation of quantum algorithms with the potential to unlock significant advancements in both computational science and quantum information processing.

DOI: 10.5281/zenodo.22316376

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