Quantum Topology Non-linear Geometry Optimization (QTGO)

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum Topology Non-linear Geometry Optimization (QTGO) is a novel approach to geometric optimization that leverages the unique properties of quantum mechanics to address complex problems. This paper introduces a novel algorithm based on the principles of quantum topology and non-linear geometry optimization, demonstrating its potential for solving challenging geometric scenarios with enhanced precision through the accurate modeling of quantum states. The core mechanism centers on a quantum-inspired optimization strategy that dynamically adjusts parameters based on the quantum state of the problem, leading to improved solution quality and efficiency. We explore the theoretical foundation of the algorithm, detail its implementation, and present preliminary results demonstrating its efficacy in specific geometric optimization tasks. The potential impact of QTGO extends to diverse fields, including computational design, materials science, and pattern recognition, by offering a pathway to more sophisticated geometric solutions.

DOI: 10.5281/zenodo.22155759

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