基于量子计算的非线性系统动力学模拟
Jincheng Zhang
Abstract
This research investigates the application of quantum computing to the simulation of non-linear systems, specifically focusing on complex quantum chemistry reactions and physical phenomena. Traditional simulation methods often rely on classical computers, limiting the complexity and computational resources available for these intricate systems. This paper explores the potential of quantum computing to overcome these limitations, utilizing quantum entanglement and quantum algorithms to achieve unprecedented accuracy and efficiency in modeling these processes. The core claim is that quantum computing offers a significant advantage in simulating non-linear systems due to its unique capabilities in managing quantum states and exploiting superposition and entanglement. We will detail the proposed method, its mathematical underpinnings, and preliminary results demonstrating its efficacy in simulating a specific, albeit simplified, system. The paper concludes with a discussion of future research directions and potential challenges.