Quantum-Enhanced Non-Linear Control of Dynamical Systems
Jincheng Zhang
Abstract
This paper investigates the potential of quantum computation to revolutionize the control of dynamical systems. Dynamical systems, characterized by their complex, nonlinear behavior, pose significant challenges in various fields, including engineering, physics, and biology. Traditional control methods often struggle to effectively manage these systems due to their sensitivity to initial conditions and inherent unpredictability. We propose a novel approach leveraging quantum entanglement and superposition to enhance dynamical system control, specifically focusing on improving stability and predictability through precise manipulation of the system's state. This work explores a quantum algorithm designed to achieve this enhancement, demonstrating its potential for significantly improving the performance of complex systems. The core mechanism involves quantum state manipulation to achieve a level of precision unattainable by classical approaches, ultimately leading to more stable and predictable behavior.