Title: Quantum Simulation of Complex Time-Dependent Systems

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum simulation of complex time-dependent systems presents a significant challenge in computational science. Classical methods often struggle to accurately represent the intricate dynamics of these systems, particularly when quantum effects are dominant. This paper explores a novel quantum simulation technique, leveraging the inherent advantages of quantum computation to achieve unprecedented accuracy in the simulation of such systems. We propose a modified Trotterization algorithm coupled with a novel quantum state representation to address limitations inherent in existing approaches. The core claim is to develop a method capable of capturing the evolution of complex time-dependent systems with enhanced fidelity compared to existing classical and hybrid simulation techniques. This research will focus on demonstrating the technique's potential to accurately simulate various systems, including those exhibiting strong quantum entanglement and non-linear dynamics. The results will provide a fundamental step towards more reliable simulations of complex physical systems.

DOI: 10.5281/zenodo.22481970

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