Dynamic Topology-Based Quantum State Generation
Jincheng Zhang
Abstract
This paper introduces a novel quantum state generation algorithm based on dynamic topology. Traditional quantum state generation methods often rely on static parameters, but this approach leverages the inherent complexity of topological structures to generate unique and potentially valuable quantum states. We propose a framework where the input is a topological structure, which is then manipulated through a dynamic process to produce a state exhibiting complex topology. The algorithm's core mechanism centers around the continuous application of a 'topology transformation' to the input, resulting in a state with a defined, but ever-evolving, topological shape. This allows for the exploration of quantum states with intricate and unpredictable properties, offering a significant departure from conventional techniques. We present preliminary results demonstrating the algorithm's effectiveness in generating specific quantum states, highlighting its potential for advancing quantum information theory and quantum computation.