Geometric Topology and Quantum Computing: A Unified Optimization Framework

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the synergistic potential of geometric topology and quantum computing for advanced optimization. We propose a novel framework that leverages the unique properties of quantum computation to accelerate and enhance the optimization of complex geometric structures. The core mechanism centers on constructing a quantum-enhanced optimization algorithm, specifically designed to effectively navigate and manipulate intricate geometric configurations. The research addresses the limitations of traditional optimization techniques by integrating geometric topology – a framework for understanding shapes and their properties – with the computational power of quantum systems. This integration promises to yield significant improvements in efficiency and scalability, offering a fundamentally new approach to geometric optimization. The study investigates the fundamental principles and potential applications of this joint approach, emphasizing its capacity to tackle problems currently intractable for classical optimization methods.

DOI: 10.5281/zenodo.22518519

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