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Quantum Fractal Art: Bringing Fractals into the Age of Quantum Computing.

Wiktor Mazin

Published Jan 1, 2026• 0 citations
OpenAlex

Abstract

This article introduces quantum fractal art, a novel fusion of quantum computing and fractal mathematics that reimagines the classic Julia set through the lens of quantum mechanics. Rooted in foundational principles such as quantum superposition and entanglement, the work explores how quantum-derived complex numbers can be used to generate fractal imagery, creating a unique intersection between quantum computational science and visual art. By leveraging quantum circuits to manipulate quantum states, these complex-numbered outputs are embedded into fractal-generating functions, transforming quantum information into intricate and expressive visual forms. The article also examines the aesthetic potential of quantum noise and explores the symbolic dimensions of fractal forms. It further highlights collaborative efforts with contemporary artists to engage with philosophical themes inspired by quantum theory. Quantum fractal art is an emerging genre at the intersection of science and art, uniquely harnessing quantum principles to expand creative frontiers while offering deeper insight into the quantum world.

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This paper explores the utilization of geometric fractal landscapes as a visualization technique for quantum states. Traditional visualization methods often struggle to effectively represent the inherent complexity and non-linearity of quantum systems. We propose a novel approach that leverages fractal geometry to generate visual representations of quantum states, offering a potential pathway toward a more intuitive understanding of quantum phenomena. The core mechanism involves constructing a visual landscape where the structure of the quantum state is reflected through the intricate patterns of fractal elements. This approach aims to improve the ability to identify key features and relationships within the quantum state, facilitating deeper insights into its behavior. The research will focus on developing a framework that dynamically adjusts fractal parameters to accurately capture the state's nuances. The paper concludes with a discussion of the potential applications of this visualization technique across various fields, including quantum information processing and quantum entanglement analysis.
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