Quantum Adaptive Topology

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Adaptive Topology is a novel algorithm for constructing and manipulating topological structures, leveraging quantum mechanics to dynamically adjust the topology during the computation process. This paper explores the design and implementation of this algorithm, focusing on its ability to generate highly varied and accurate geometric representations of complex shapes. The core mechanism centers around a quantum-enhanced adaptation of the initial topological landscape, ensuring the resulting model reflects subtle variations introduced by the input data. We present a detailed theoretical analysis and preliminary implementation demonstrating the algorithm's effectiveness in modeling specific geometric patterns. The potential of this approach to revolutionize computational geometry and data visualization is significant, offering a pathway to more precise and adaptable representations of complex shapes.

DOI: 10.5281/zenodo.22200963

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