Title: Quantum-Enhanced Fractal Dimension Estimation

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum-enhanced fractal dimension estimation presents a novel approach to data analysis, leveraging quantum entanglement to facilitate a more accurate and comprehensive exploration of fractal structures than conventional classical methods. This paper explores the potential of this technique, focusing on its ability to mitigate the limitations of classical algorithms in handling high-dimensional data and accurately characterize complex fractal patterns. We detail the fundamental principles of quantum entanglement and its application to this task, presenting a theoretical framework and preliminary experimental results demonstrating improved fractal dimension estimation accuracy. The core mechanism centers around utilizing entanglement to create a more holistic representation of the data's underlying fractal structure, offering a potential paradigm shift in the field of data analysis.

DOI: 10.5281/zenodo.22155854

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