Quantum State Evolution Models: A Comprehensive Approach
Jincheng Zhang
Abstract
Quantum state evolution is a fundamental aspect of quantum mechanics, particularly concerning the dynamics of quantum systems over time. This paper explores the development of a novel model for quantum state evolution, integrating principles of quantum field theory and advanced computational methods. The core claim is to construct a model capable of accurately simulating the non-linear time evolution of quantum states, offering predictive capabilities for complex environments. We introduce a "Quantum Field Theory Extension" concept, linking quantum states to the non-linear dynamic changes inherent in field theories, and establish a tailored algorithm for precise prediction. This work represents a significant advancement in quantum simulation, aiming to address limitations of existing models by incorporating the core dynamics of quantum evolution.