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El-rakhawi Framework for Geometrically-Informed Quantum Control of Femtosecond Molecular Dynamics: An AI-Driven Approach to Robust Coherent Control in Open Quantum Systems

m el-rakhawi

Published Jul 18, 2026• 0 citations
Publisher

Abstract

Elـrakhawi Framework for Geometrically-Informed Quantum Control of Femtosecond Molecular Dynamics: An AI-Driven Approach to Robust Coherent Control in Open Quantum Systems
DOI
10.5281/zenodo.21422942

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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.
THE EL-RAKHAWI FAULT-TOLERANT QUANTUM NETWORK ARCHITECTURE (EFQNA) by Dr. M.K.A. El-Rakhawi (DOI: 10.5281/zenodo.23539124) presents a unified architecture for global quantum internet deployment through three revolutionary pillars. Key innovations:1. **Hybrid Topological-Photonic Qubits**: Encode information in Majorana zero modes' non-local braiding statistics, achieving exponentially suppressed error rates and reducing physical-to-logical qubit overhead from 1000:1 to ~10:1 via intrinsic passive protection. 2. **Solid-State Quantum Repeater Nodes**: Utilize Silicon Carbide (SiC) divacancy color centers as spin-photon interfaces, executing entanglement swapping and purification protocols to extend quantum communication range to thousands of kilometers without violating the No-Cloning Theorem. 3. **AI-Driven Entanglement Purification**: Lightweight Deep Reinforcement Learning agent deployed on dedicated FPGA dynamically optimizes purification gate sequences based on real-time channel noise, tangibly improving quantum network resource utilization and throughput. The framework ensures information-theoretic security via QKD while correcting the common misconception about superluminal data transfer. IP protection excludes natural phenomena per Alice/Myriad precedents, safeguarding only concrete hardware implementations (SiC crystal configurations, FPGA-based purification controllers, topological nanowire layouts), ensuring robust patent eligibility for this fault-tolerant quantum network ecosystem.