Empirical Validation of the Ait Zaouit Law v3.1: Achieving 78.83% Fidelity at Depth 100 on IBM Heron Quantum Processors

Abstract: This technical report documents the empirical validation of the Ait Zaouit Law v3.1, a pioneering phase-shielding protocol developed for superconducting quantum architectures. The study focuses on mitigating coherent errors and phase instability in deep quantum circuits. Benchmarked on the latest IBM Heron-class processors (ibm_torino and ibm_fez), the Ait Zaouit protocol demonstrates a significant leap in fidelity retention compared to standard industrial optimization methods. Key Scientific Findings: The report provides comprehensive data and visualization for several high-stress benchmarks: Mirror Symmetry Benchmark: Achieved an unprecedented 78.83% fidelity at a circuit depth of 100 on ibm_torino. Deep-Circuit Endurance: Maintained a functional fidelity of 40.92% at Depth 150, effectively navigating the quantum decoherence threshold. Comparative Performance: The included visualizations (Fidelity Comparison Chart) illustrate a clear divergence where the Ait Zaouit Law prevents the "fidelity collapse" typical of standard Level 3 optimizations beyond Depth 110. Methodology & Confidentiality: The Ait Zaouit Law operates through a proprietary Deterministic Phase-Shielding mechanism. It applies compensatory virtual rotations calculated against a non-linear scaling index relative to gate depth. This methodology treats quantum noise as a systematic, predictable drift rather than a purely stochastic process. Note on Intellectual Property: To protect the underlying intellectual property, the specific mathematical constants and the algorithmic implementation are not disclosed in this public report. The data provided serves as a formal Proof of Concept (PoC) and empirical disclosure. Full technical specifications and collaboration opportunities are available for academic or institutional review under a Non-Disclosure Agreement (NDA). Included Assets: Technical Summary: Detailed breakdown of test environments and hardware specifications. Fidelity Comparison Chart: A graphical representation of AZL v3.1 vs. Standard Optimization. Mirror Test Bar Chart: Distribution of success rates across multiple QPUs. Keywords: Quantum Error Mitigation, Ait Zaouit Law, IBM Quantum, Heron Architecture, Phase Coherence, Quantum Fidelity, Qiskit.