High-Dimensional Non-Linear Geometric Transformations: A Quantum Algorithm

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper presents a novel quantum algorithm for solving high-dimensional non-linear geometric transformations. The algorithm leverages quantum entanglement to accelerate the computation of these transformations, introducing a predictive capability. We detail the core mechanism, including the quantum state representation, entanglement protocol, and the resulting quantum circuit design to achieve the desired optimization. The paper explores the potential of this approach to address complex geometric problems with significant computational bottlenecks. We provide a preliminary analysis of the algorithm's efficiency and discuss its potential applications in areas such as data visualization, image processing, and structural analysis. Further research will focus on refining the quantum circuit design and extending the algorithm to handle more intricate geometric transformations.

DOI: 10.5281/zenodo.22302807

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