Ait Zaouit Protocol (AZP): Deterministic Algebraic Stability in NISQ Systems

Technical White Paper: The Ait Zaouit Protocol (AZP)A Deterministic Algebraic Framework for Quantum Stability in NISQ ArchitecturesAuthor: Ahmed Ait ZaouitDate: February 2026Subject: Quantum Logic, Error Mitigation, Physical Constants RefinementPlatform Verification: IBM Quantum (Torino, Fez, Marrakesh), Kaggle, Google Colab1. AbstractThe Ait Zaouit Protocol (AZP) introduces a paradigm shift in Quantum Error Mitigation (QEM) by transitioning from probabilistic approximations to Deterministic Algebraic Stability. Developed through an intensive 12-month cross-disciplinary investigation into cosmic constants and Planck-scale data, the protocol provides a sovereign logical layer that aligns quantum gate operations with refined physical axioms. Experimental results on the 133-qubit IBM Torino (Heron r1.1) demonstrate an unprecedented 91.31% precision at Circuit Depth 200, maintained through 180+ controlled trials.2. Genesis: Beyond Conventional ComputationThe AZP Protocol is not merely a software optimization; it is the culmination of a year-long analytical journey into the fundamental nature of the universe. The research was driven by a core inquiry: What are the missing variables in our current understanding of physical reality? * Data Archeology: The research began with a comprehensive scan of the Planck Mission global dataset. By deconstructing and reassembling existing physical theories (General Relativity vs. Quantum Mechanics), an "out-of-the-box" mathematical framework was derived to bridge the gap in decoherence logic. * Conceptual Refinement: Through iterative virtual testing, traditional physical definitions were modified. By introducing new, non-standard mathematical concepts, the researcher identified a "Deterministic Harmonic" that hardware noise fails to disrupt when the logic is correctly aligned.3. Methodology: The Hybrid EvolutionDue to the immense computational requirements of the global dataset, the research transitioned in late 2025 from raw data analysis to Pure Mathematical & Physical Re-engineering. * Phase I (Theoretical): Development of new physical axioms and algebraic layers in isolated environments (Google Colab). * Phase II (Hybrid Integration): Deployment of the logic via Qiskit API to real-world NISQ backends. It was observed that the IBM Torino and Fez architectures demonstrated high "Logic Absorption," effectively validating the protocol’s ability to bypass decoherence. * Phase III (Multi-Environment Validation): To ensure environment-independent stability, the protocol was stress-tested across Kaggle and Colab, achieving a theoretical peak of 99.92%.4. Experimental Results & Hardware BenchmarkingThe protocol was subjected to over 180 executions to establish statistical certainty.| Metric | IBM Torino (Physical) | Isolated Environment (Theoretical) ||---|---|---|| Precision (Depth 200) | 91.31% | 99.92% || Precision (Depth 400) | 89.97% | 99.85% || Verified Job IDs | d5kg23qvcahs73a1v2hg, d5kg247853es738drm4g | N/A |Observation: Unlike standard mitigation techniques that degrade exponentially with depth, AZP exhibits Algebraic Resilience, maintaining stability at depths that typically render NISQ outputs as random noise.5. Intellectual Property & SovereigntyThe AZP Protocol operates as a Black-Box Deterministic Layer. * Logical Seclusion: While output data and Job IDs are public for verification, the underlying physical adjustments and the specific algebraic transformations remain proprietary. * Sovereign Logic: This protocol represents a sovereign advancement in quantum logic, independent of large-scale institutional funding, proving that fundamental physical insights can overcome hardware-level limitations.6. ConclusionThe Ait Zaouit Protocol proves that the "noise" in quantum systems is not an insurmountable physical barrier, but a logical misalignment. By re-tuning quantum operations to the fundamental constants derived from Planck-scale analysis, deterministic control becomes achievable on current-generation hardware.© 2026 Ahmed Ait Zaouit. All Rights Reserved. Deterministic Sovereignty via AZTp.