Fractal Geometry as a Foundation for Quantum Information – Exploring Entanglement through Self-Similarity

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Abstract: Quantum information research predominantly utilizes discrete states, often relying on linear algebra and matrix representations. This paper explores the potential of fractal geometry as a foundational element, proposing that fractal patterns offer a novel approach to understanding and manipulating entanglement – a key challenge in quantum information processing. We investigate the relationship between fractal geometry and quantum entanglement, suggesting that self-similarity inherent in fractal structures could be leveraged to enhance quantum coherence and facilitate the observation of entanglement phenomena. This work contributes to a broader theoretical framework for investigating quantum information by proposing a unique connection between fractal geometry and the fundamental properties of quantum systems.

DOI: 10.5281/zenodo.22290384

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