Madmartigan RCS Benchmark Update: TRL-7 Real-Backend Validation of QSCE on IBM Marrakesh

Madmartigan RCS Benchmark Update: TRL-7 Real-Backend Validation of QSCE on ibmₘarrakesh This technical update presents the first real-hardware Random-Circuit-Sampling (RCS) benchmark of the Quantum State Command Encoding (QSCE) architecture using the 16-qubit, ~55-layer hybrid circuit termed Madmartigan. The experiment was executed directly on the IBM ibmₘarrakesh superconducting backend in a TRL-7 configuration with 4096 shots, using the same circuit instance previously validated on the Marrakesh noise model. Despite the adversarial nature of RCS—designed to overwhelm coherence, erase structure, and drive quantum systems into thermalized noise—the Madmartigan benchmark again demonstrates that QSCE maintains strong architectural structure under deep scrambling. On real hardware, the experiment achieves: XEB fidelity: 1. 82 (absolute) Heavy-Output Generation (HOG): 0. 719 Inverse Participation Ratio (IPR): 3647. 22 Normalized IPR (nIPR): 0. 0557 Shannon entropy: 11. 88 bits (0. 7427 normalized) These results extend the prior TRL-6 noise-model findings into a full TRL-7 regime, confirming that the observed behavior is not a simulator artifact. The entropy and IPR windows remain tightly aligned with the noise-model run, while the hardware XEB stays strictly positive at 55 layers—indicating a high-information, non-ergodic attractor band rather than a fully thermalized, Porter–Thomas distribution. As in the simulator study, the goal is not classical intractability but architectural validation: demonstrating that QSCE’s command-collapse logic, deterministic routing, and phase-anchored propagation remain stable even when subjected to deep random unitaries and adversarial entangling layers on real metal. The Madmartigan hardware benchmark therefore provides direct empirical support for QSCE’s orchestration and activation-propagation formalisms, confirming that the architecture exhibits resilience, directional structure, and engineered collapse behavior under one of the most chaotic quantum benchmarking regimes known—now validated at TRL-7 on an IBM production backend.