Title: Fusion of Topology and Probability: A Predictive Framework for Non-Spin Quantum Systems
Jincheng Zhang
Abstract
This paper presents a novel framework for predicting and simulating the behavior of non-spin quantum systems, leveraging the integration of topology and probability theory. The core concept revolves around modeling quantum system evolution as a probabilistic process, utilizing topological structures to provide a deeper understanding of system dynamics. We propose a method for constructing a unified model capable of accurately predicting quantum phenomena, with a specific focus on the intricacies of quantum entanglement and state evolution, which are central to quantum computing. The proposed method addresses the limitations of existing probabilistic models by incorporating topological aspects, offering a more comprehensive and insightful approach to system simulation. This research aims to advance our understanding of quantum systems through the application of advanced mathematical tools and conceptual frameworks.