Title: Fractal Dynamics & Quantum Complexity
Jincheng Zhang
Abstract
Fractal Dynamics & Quantum Complexity The inherent complexity of quantum systems necessitates innovative approaches to control and manipulation. This research explores the potential of utilizing fractal dynamics to stabilize quantum systems, envisioning a 'quantum fractal' capable of self-organizing into complex patterns. This project focuses on the development of a novel algorithm, the 'Fractal Resonance' method, designed to harness the self-similarity inherent in fractal structures to achieve a state of quantum stability. The core mechanism involves a carefully orchestrated iterative process applied to quantum entanglement, promoting self-organization and stabilization through fractal self-similarity. This work addresses the limitations of current quantum computing by presenting a fundamentally different approach that leverages the principles of fractal geometry to enhance quantum coherence and robustness. The resulting 'quantum fractal' promises a pathway towards more stable and controllable quantum systems.