Non-Linear Quantum Topology-Based Computation
Jincheng Zhang
Abstract
This paper investigates the potential of quantum topology as a novel computational framework. The core claim is to develop a quantum topology-based computational algorithm that dynamically adapts its computational strategy based on the input data's topological properties. Traditional computation relies on fixed steps, offering limited adaptability. Quantum topology, with its unique properties, presents an opportunity to achieve significantly improved accuracy through this adaptive approach. This work explores the theoretical foundations of such an algorithm, introduces a preliminary implementation framework, and discusses potential applications in various computational domains. The paper outlines the key challenges and future directions of research in this burgeoning field.