El-rakhawi Framework for Geometric Quantum Control of Femtosecond Molecular Dynamics with Attosecond Electronic Precision: An AI-Driven High-Fidelity Approach Beyond Standard Quantum Control**
Elrakhawi Framework for Geometric Quantum Control of Femtosecond Molecular Dynamics with Attosecond Electronic Precision: An AI-Driven High-Fidelity Approach Beyond Standard Quantum Control**
The El-Rakhawi Framework for Topological Quantum Control (DOI: 10.5281/zenodo.22907946) presents a proof-of-principle methodology integrating Uhlmann-based robustness metrics with Reinforcement Learning (PPO) to control open quantum systems governed by the Lindblad master equation. By embedding an Uhlmann Robustness Metric (URM) into the optimization reward function, the framework guides molecular dynamics along trajectories resilient to severe environmental decoherence. Simulations on a 3-level Lambda system demonstrate a target state yield improvement from ~62% (standard OCT) to ~87%. An ablation study confirms this gain is directly attributable to the URM constraint. The work maintains strict scientific honesty, acknowledging this is a reduced-dimensionality model with noted computational considerations for larger systems. Protected under sovereign intellectual property with explicit AI training restrictions and mandatory academic attribution. All rights exclusively reserved to Dr. Mohamed Kamal Arafa El-Rakhawi, establishing a reproducible blueprint for decoherence-resistant quantum control.
This paper introduces Topological Quantum Control (TQC), a framework integrating Uhlmann fidelity-based robustness metrics with AI-driven pulse optimization for attosecond molecular dynamics. Using the Lindblad master equation to model decoherence, we employ Proximal Policy Optimization (PPO) to navigate non-convex control landscapes. Validated on a three-level Lambda system under extreme noise stress-tests, TQC improves target yield from 62% to 87% compared to standard optimal control. The approach demonstrates enhanced resilience against environmental decoherence, offering a reproducible, open-source proof-of-principle for robust quantum control in complex, open systems.