Dynamic Topology Quantum State Space Structure (DTSSS)
Jincheng Zhang
Abstract
This paper presents a novel approach to quantum state space representation based on dynamic topology. We introduce a new framework, Dynamic Topology Quantum State Space Structure (DTSSS), which leverages topological properties to model quantum state evolution. This model offers a fundamentally different perspective on quantum mechanics, enabling a deeper understanding of quantum states through their dynamic transformations. The core of DTSSS involves employing topological tools to optimize the structure of quantum states during evolution, thereby facilitating more accurate predictions of quantum state trajectories. This work addresses the limitations of traditional approaches by embracing the inherent dynamism of quantum systems. We demonstrate the effectiveness of DTSSS through a series of illustrative examples, showcasing its potential for advanced quantum simulation and analysis.