Adaptive Topology Deformation of High-Dimensional Geometric Topology & Quantum Algorithm Fusion

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper investigates the application of adaptive topology deformation techniques, combined with quantum algorithms, to enhance geometric transformations and computational efficiency in high-dimensional spaces. We introduce a novel algorithm that dynamically adjusts topology based on input data, leveraging quantum processing to achieve unprecedented precision in geometric reconstruction and manipulation. The core of this approach centers around a self-organizing topology framework, enabling the algorithm to effectively bridge the gap between traditional geometric methods and the capabilities of quantum computation. The study focuses on demonstrating the algorithm's effectiveness in tasks requiring precise geometric transformations, specifically addressing challenges in data analysis and simulation within complex high-dimensional environments. This research explores the potential of quantum-enhanced topology for significantly accelerating geometric processes, offering a paradigm shift in computational geometry.

DOI: 10.5281/zenodo.22296235

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