Quantum Topology: Adaptive Geometric Pattern Recognition

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum Topology explores the potential of leveraging quantum mechanics to revolutionize pattern recognition, specifically focusing on the development of an adaptive geometric pattern recognition algorithm. This research proposes a novel approach that utilizes quantum state self-similarity to achieve more accurate geometric analysis and predictive capabilities. The core mechanism centers around dynamically adapting to the intricate quantum states, offering a fundamentally different methodology compared to traditional techniques. The algorithm's potential lies in its ability to discern subtle geometric patterns hidden within complex quantum states, leading to enhanced precision and robustness. This paper will detail the theoretical foundations, implementation strategies, and preliminary results of this innovative system, demonstrating its capacity to surpass conventional methods in pattern recognition tasks.

DOI: 10.5281/zenodo.22264152

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