Topological Information-Driven Quantum Computation Topology Evolution
Jincheng Zhang
Abstract
This paper explores the application of topological information to quantum computation, focusing on the evolution of quantum states through topological structures. The core claim is to design an algorithm that simulates the topological evolution of quantum states, allowing for predictive analysis of future quantum computations. Traditional quantum computation relies on classical physics models, but this research leverages quantum computation's inherent properties to offer a novel approach to simulating complex quantum systems. The algorithm employs a system of nodes and edges representing topological configurations, allowing for the observation of evolving topological structures. The paper details the design of a simulation framework, explores the impact of various topological parameters, and presents preliminary results demonstrating the algorithm's ability to predict state evolution. This work contributes to the development of robust quantum computing algorithms by focusing on the dynamic interplay of topological structures.