Quantum Algorithm-Based Topological Optimization
Jincheng Zhang
Abstract
This paper introduces a novel optimization approach based on quantum algorithms, specifically designed for solving complex topological geometry problems. Traditional optimization methods often demand significant computational resources, while this approach leverages quantum algorithms to accelerate the search for optimal solutions. The core mechanism centers around transforming topological geometry problems into a quantum algorithm framework, capitalizing on quantum algorithms' inherent capabilities for faster and more efficient optimization. This research explores the potential of quantum computation to address challenging problems in topology, offering a promising path towards more effective solutions.