Topological-Quantum Path Optimization
Jincheng Zhang
Abstract
This paper investigates the application of topological-quantum path optimization algorithms to enhance quantum computation. Traditional quantum computing relies on classical computers for algorithm design and implementation. We propose a novel approach that leverages the inherent topological properties of quantum systems to guide the optimization of quantum paths, leading to improved efficiency and potentially new quantum algorithms. This research focuses on establishing a framework for optimizing quantum trajectories using topological concepts, aiming to overcome limitations inherent in existing quantum computing methods. The core mechanism involves utilizing topological structures to represent the quantum state and guide the optimization process, ultimately improving the performance of quantum systems.