Fractal Quantum Entanglement
Jincheng Zhang
Abstract
This paper investigates the potential of fractal geometry as a novel framework for representing and manipulating quantum entanglement. We propose a quantum algorithm predicated on self-similarity principles, aiming to enhance coherence and information transfer through a fractal-based encoding scheme. The core claim is that carefully designed fractal representations can mitigate noise and improve the robustness of quantum systems, thereby offering a fundamentally new approach to quantum information processing. The work details the algorithmic design, potential benefits, and challenges associated with this exploration, emphasizing the connection between fractal geometry and the fundamental properties of quantum entanglement.