Quantum-Inspired Simulation of Chaotic Systems

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the potential of quantum-inspired simulation techniques for modeling and understanding chaotic systems. Traditional methods for simulating chaos often struggle with accurately capturing long-term behavior and identifying subtle patterns. We propose leveraging principles from quantum mechanics, specifically quantum interference and superposition, through the design of novel algorithms. These algorithms, termed 'quantum-inspired', aim to mimic the probabilistic and wave-like nature of quantum systems to enhance the simulation process. The core idea is that the inherent uncertainty and interconnectedness found in quantum mechanics can offer a more robust approach to representing the complex dynamics of chaotic systems. We present a framework for developing these algorithms and discuss potential applications, focusing on improved prediction accuracy and pattern recognition. The effectiveness of this approach is demonstrated through theoretical analysis and conceptual design, without empirical validation through simulation experiments. The research contributes to a new perspective on chaos simulation, bridging the gap between classical and quantum computational paradigms.

DOI: 10.5281/zenodo.22221193

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