Core Claim: Design a quantum probability model based on dynamic topology, capable of capturing quantum system dynamics, and improving model accuracy.
Jincheng Zhang
Abstract
Quantum systems exhibit remarkable complexity, often displaying intricate dynamic behavior that conventional probabilistic models struggle to represent. This paper explores the application of dynamic topology as a novel framework for quantum probability modeling, aiming to enhance model accuracy by explicitly modeling the system's evolution through a dynamic structure. We propose a method where the parameters of a quantum system are intricately linked to the topology of a dynamic space, allowing for continuous adjustment of the topology during the simulation. This approach mitigates static limitations and facilitates the capture of quantum system dynamics. The core mechanism leverages the inherent properties of dynamic topology to generate a more realistic and accurate representation of quantum behavior. This research will present a theoretical framework and preliminary results demonstrating the effectiveness of this dynamic topology approach in modeling quantum systems exhibiting complex evolution.