Title: Quantum-Enhanced Fractal Complexity via Entangled States

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper investigates the potential of quantum entanglement to enhance fractal complexity, offering a novel approach to generating intricate and unpredictable structures. We introduce a "Quantum Entanglement Gradient" algorithm designed to dynamically modulate entanglement within fractal elements, fostering a self-organizing process leading to increased complexity. The core mechanism leverages the inherent properties of entangled quantum states to overcome the limitations of classical computational approaches in modeling and generating fractal patterns. This research explores the feasibility of utilizing quantum entanglement as a transformative tool for materials science and computational design, potentially leading to advancements in areas such as data visualization, image synthesis, and the creation of novel physical phenomena. The paper details the algorithm's implementation, initial results, and discusses future research directions.

DOI: 10.5281/zenodo.22638507

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