Quantum-Enhanced Fractal Dimension Analysis - Beyond the Euclidean Measure

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum-enhanced fractal dimension analysis explores the potential of quantum phenomena to refine the determination of fractal complexity. This paper introduces a novel analytical method predicated on the integration of quantum superposition and entanglement to assess fractal dimension, offering a potential shift from the limitations of traditional Euclidean approaches. We propose a framework that leverages quantum algorithms to investigate subtle quantum fluctuations influencing fractal structures, aiming to uncover new fundamental properties and potentially revolutionize our understanding of complex geometry. The study outlines a rigorous theoretical foundation and preliminary experimental investigations to validate the proposed quantum-enhanced technique.

DOI: 10.5281/zenodo.22269946

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