Quantum-Enhanced Fractal Complexity Metrics
Jincheng Zhang
Abstract
This paper explores the application of quantum entanglement to the quantification of fractal complexity in complex data sets. Traditional methods often face limitations in accurately capturing the intricate details of fractal patterns, particularly in high-dimensional datasets. We propose a novel metric, the Quantum-Enhanced Fractal Complexity (QEC) metric, which utilizes quantum entanglement to accelerate the exploration of fractal structures and potentially reveal subtle patterns missed by classical approaches. This work aims to address these limitations through a fundamentally new method of quantifying complexity, demonstrating improved performance and potential for advanced data analysis.