Title: Fractal Dimensionally-Enhanced Quantum Simulation Algorithms

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum simulation, a powerful tool for understanding complex quantum systems, faces significant challenges in accurately modeling systems with high dimensionality. Traditional methods often struggle with the inherent complexity and dimensionality of these systems, limiting their computational feasibility. This paper proposes a novel approach to quantum simulation, utilizing fractal geometry to enhance accuracy and efficiency by introducing a 'fractal-aware perturbation strategy.' We demonstrate the effectiveness of this method in simulating a specific quantum system, showcasing a significant improvement in simulation accuracy and reduced computational cost compared to existing algorithms. The core mechanism involves dynamically adjusting simulation parameters based on the observed fractal structure of the system, effectively capturing the underlying dimensionality in a more nuanced way. This research addresses a critical bottleneck in quantum simulation, offering a promising pathway toward more accurate and efficient simulations of intricate quantum systems.

DOI: 10.5281/zenodo.22497108

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