Title: Non-Linear Time-Dependent Quantum Systems

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the development of a novel method for accurately modeling and predicting the behavior of quantum systems that evolve over time, specifically addressing the inherent challenges of non-linear dynamics. Traditional methods often struggle to capture the complex, iterative nature of these systems, leading to inaccuracies and limitations in predictive capabilities. We propose a new algorithmic framework centered around the concept of "temporal flow" – a dynamic adjustment mechanism that continuously monitors and adapts to changing conditions, thereby providing a more robust and accurate representation of the system's evolution. This work is motivated by a recognized need for improved simulation capabilities within the quantum realm, particularly for complex systems exhibiting non-linear behavior, and holds potential implications for advancing quantum technologies.

DOI: 10.5281/zenodo.22315320

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