Fractal Dimension-Based Algorithm for Quantum State Collapse

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum state collapse is a fundamental process in quantum mechanics, where a quantum system transitions from a superposition of states to a single, definite state. Traditional approaches often rely on probabilistic models and require extensive experimentation to characterize and predict collapse. This paper introduces a novel algorithm, the Fractal Dimension-Based Collapse Algorithm (FDCA), that leverages fractal dimension to quantify the complexity of quantum state collapse. We propose a new metric – the Fractal Collapse Dimension (FCD) – which captures the intricate, non-linear dynamics inherent in this transition. This algorithm provides a mathematically rigorous framework for understanding and predicting the collapse process, offering a potential pathway to improved quantum system modeling and analysis. The FDCA focuses on the fractal dimension of the state's evolving structure, providing a more nuanced understanding of the collapse than traditional methods. This approach has the potential to enhance our ability to control and manipulate quantum systems, ultimately advancing the field of quantum information theory.

DOI: 10.5281/zenodo.22270157

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