EIEZ Lang on Real Quantum Hardware: Compilation, Hybrid Execution, and Decoherence Criticality Analysis on IBM Quantum

This paper presents the experimental validation and execution of the EIEZ Language (Version 3) on real physical quantum hardware. Deployed across IBM Quantum processors (ibm_fez, ibm_marrakesh, and ibm_torino, featuring 133 to 156 physical qubits), the EIEZ v3 framework introduces hybrid compilation targeting OpenQASM 2.0 and OpenQASM 3.0, adaptive classical control flow (while, repeat-until with rich CondExpr logic), and hardware topology validation (EIEZTopologyError). The test series evaluated 2- and 3-qubit entanglement circuits (Bell State, GHZ State), quantum algorithms (Deutsch), and depth-scaling tests ($H \times 1$ to $H \times 10$), executed with up to 4,096 shots per job. Key Results: Full Compilation Compatibility: Seamless execution flow from EIEZ source code to OpenQASM and IBM Quantum hardware. High Entanglement Fidelity: Average fidelity of ~95% across Bell State, GHZ, and Deutsch algorithm executions on physical QPUs. Critical Decoherence Point: Empirical observation of quantum interference breakdown at depth $H \times 3$ (~50% deviation from the ideal EIEZ simulator), providing physical evidence of criticality and confirming the applicability of the EIE/ZIE adaptive control framework (Patent BR 10 2025 024459 4). Transpiler Depth Recovery: Fidelity restoration to ~99.7% at depth $H \times 10$ driven by internal sequence optimization in Qiskit transpilation. Open FAIR Dataset: Release of machine-readable raw measurement counts (JSON/CSV), UTC timestamps, and IBM Job IDs for open verification. Links & Resources: IBM Quantum Cloud Platform: https://quantum.cloud.ibm.com/ Raw Execution Counts (JSON / CSV): https://github.com/joemerson/eiez-lang/blob/main/eiez-lang/Teste_rodados_IBM_/JSON.json Local Simulation Notebooks (Zenodo): https://doi.org/10.5281/zenodo.19078764 EIEZ Compiler Source Code (GitHub): https://github.com/joemerson/eiez-lang Complete EIE/ZIE Theory & Framework (Zenodo): https://doi.org/10.5281/zenodo.19005280 Zenodo DOI: https://doi.org/10.5281/zenodo.19078829