Title: The Geometry of Randomness – Characterizing Fractal Behavior with Quantum Simulation

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper investigates the geometry of randomness, specifically focusing on characterizing fractal behavior using quantum simulation. The core claim is to develop a novel quantum simulation technique to unveil the underlying fractal structure of random systems, thereby providing a deeper understanding of their complex dynamics. The method aims to emulate the evolution of a random system through quantum mechanics, allowing us to directly observe and quantify the emergence of fractal patterns. The research will explore the potential of this approach to surpass current approximation methods, offering a fundamentally new pathway to analyze and quantify fractal geometry.

DOI: 10.5281/zenodo.22219431

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