Topological Quantum Control of Attosecond Molecular Dynamics: A Proof-of-Principle Framework on Reduced-Dimensional Models
Abstract
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.
