Quantum-Accelerated Geometric Simplification

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of quantum computing to revolutionize geometric simplification. Traditional geometric simplification algorithms often struggle with high-dimensional shapes, leading to computationally intensive processes. We propose a novel quantum algorithm designed to identify and eliminate redundant geometric elements, thereby significantly reducing computational complexity. This work introduces a quantum-enhanced representation and a novel quantum optimization strategy to achieve efficient simplification. The core claim is that this algorithm will surpass existing methods in terms of both computational speed and accuracy, offering a fundamentally new approach to geometric simplification. We analyze the potential benefits of quantum computation in this domain and outline a preliminary implementation.

DOI: 10.5281/zenodo.22190914

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