Title: Quantum-Based Topological Geometry Algorithm for Adaptive Topology Transformation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum computing holds immense potential for revolutionizing various fields, and topological geometry represents a particularly promising area. This paper investigates a novel quantum algorithm for adaptive topology transformation, designed to address the limitations of traditional methods. We propose a quantum circuit architecture that dynamically adjusts geometric parameters, enabling rapid and accurate modeling of complex topological structures. The algorithm leverages quantum superposition and entanglement to explore multiple topological transformations simultaneously, significantly accelerating the process compared to classical approaches. The core mechanism centers on exploiting quantum interference to guide the evolution towards the desired topological landscape. We present a preliminary implementation and analysis of the algorithm, demonstrating its effectiveness in transforming simple topological maps, highlighting its potential for broader applications in topological data analysis and design.

DOI: 10.5281/zenodo.22505208

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