Non-Linear Stability Theory: A Quantum Computing Simulation Framework

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel framework for simulating non-linear stability theory using quantum computing. Traditional methods rely on classical computational techniques, often limiting the accuracy and scalability of simulations. This work leverages quantum computing's unique properties, specifically superposition and entanglement, to provide a fundamentally different approach to stability analysis and prediction. We propose a quantum simulation algorithm designed to accurately model complex non-linear systems, offering enhanced precision and control over stability characteristics. The core mechanism involves employing quantum algorithms to represent and manipulate the system's dynamics, while simultaneously utilizing quantum superposition to efficiently explore the solution space. This research aims to advance the field of stability theory by providing a powerful and efficient simulation tool with potential implications for various engineering and scientific disciplines.

DOI: 10.5281/zenodo.22278811

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