Title: Adaptive Quantum Simulation of Complex Dynamical Systems

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper introduces an innovative quantum simulation technique designed to address the challenges of simulating complex dynamical systems. Traditional simulation methods frequently suffer from limitations in accuracy and computational cost, particularly when dealing with intricate dynamics. This work proposes an adaptive quantum simulation framework centered around a neural network that dynamically adjusts simulation parameters based on observed system evolution. The core mechanism leverages a neural network to learn a mapping between simulation parameters and the system's dynamics, enabling the simulation to concentrate computational resources on areas of interest. We demonstrate the effectiveness of this approach through simulations of a simplified, yet representative, dynamical system exhibiting key features of phase transitions and complex behavior. The results highlight the potential for significant improvements in simulation accuracy and efficiency compared to traditional methods, particularly in scenarios involving high dimensionality and non-linear dynamics. The paper concludes with a discussion of future research directions and potential applications of this technology.

DOI: 10.5281/zenodo.22156736

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