Quantum Simulation of Dynamical Systems with Adaptive Noise
Jincheng Zhang
Abstract
Quantum simulation offers a novel approach to modeling complex dynamical systems, particularly those exhibiting intricate dynamics and sensitivity to initial conditions. This paper explores a quantum algorithm designed to accurately simulate such systems with adaptive noise. The core mechanism involves dynamically adjusting the noise level based on the system's state, a departure from traditional approaches that treat noise as a constant. We detail the algorithm's design, theoretical analysis, and preliminary experimental results demonstrating improved predictive power compared to classical simulations. The goal is to significantly enhance the fidelity and robustness of dynamical system modeling, leveraging the unique capabilities of quantum mechanics.