Quantum-Enhanced Fractal Dimension Estimation using Wave Function Collapse

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper investigates the potential of quantum algorithms to enhance fractal dimension estimation, focusing on the innovative application of wave function collapse. We propose a novel approach leveraging quantum entanglement and superposition to efficiently compute fractal complexity, offering a potential breakthrough in computational geometry compared to classical methods. The core mechanism centers around exploring the wave function of a fractal shape, utilizing quantum algorithms to achieve a more precise and efficient dimension estimation. The research explores the implications of quantum computation for complex shape analysis, highlighting the advantages of quantum-enhanced fractal dimension estimation. This work aims to establish a foundation for future research in quantum-assisted geometric modeling.

DOI: 10.5281/zenodo.22298089

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