Quantum-Enhanced Fractal Dimension Discovery

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This research investigates a novel approach to fractal dimension discovery utilizing quantum entanglement. The core claim is to develop a quantum algorithm capable of identifying subtle fractal relationships within complex systems, potentially surpassing the limitations of classical analysis. We propose a framework centered on exploring the correlations between the system's quantum state and the fractal dimension, exploiting quantum entanglement to unveil previously hidden patterns. This work addresses a significant gap in fractal dimension discovery methods, offering a potential pathway for advanced pattern recognition in diverse systems. The proposed algorithm utilizes a modified quantum state representation designed to amplify subtle correlations inherent to complex systems, offering a new perspective on the detection and quantification of fractal characteristics. The research will detail the algorithm's core components, the underlying theoretical framework, and preliminary experimental validation, demonstrating the potential for a fundamentally new method in fractal dimension analysis.

DOI: 10.5281/zenodo.22154652

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