Title: Quantum Topology-Based Algorithms
Jincheng Zhang
Abstract
This paper explores the potential of quantum topology as a foundation for novel quantum algorithms. Traditional algorithms often focus on classical computations, but quantum topology offers a unique approach to designing quantum algorithms with enhanced capabilities. We propose a new quantum algorithm framework centered around the principles of quantum topology, aiming to optimize algorithm performance and stability through a refined mechanism. This research investigates the inherent properties of quantum topology and how these properties can be leveraged to create a quantum algorithm that surpasses current limitations. The core mechanism involves analyzing the fundamental structure of quantum topology to guide the algorithm's design, ultimately leading to improved efficiency and robustness.