SCIENTIFIC DATA REPORT: LCL-832 RESEARCH PROGRAMME

SCIENTIFIC DATA REPORT: LCL-832 RESEARCH PROGRAMME Empirical Validation Data for the LCL-832 Quantum-Computational Framework This scientific data report presents empirical validation results supporting the LCL-832 framework, generated on the IBM Quantum Platform and processed through the LCL-832 Master Testbench on March 19, 2026. Contents G1 Intertwining Verification (Gap G1) Choi matrix affine test performed on a [[3,1,3]] majority-vote decoder proxy under depolarizing noise at p = 0.1. The logical channel is confirmed exactly affine with CPTP check error 3.14e-16 and Frobenius residual 2.22e-16. G5 Proxy Pseudothreshold Estimation Estimation using [[5,1,2]] proxy circuits on hardware yields ppseudo = 0.11867 with 95% confidence interval [0.11249, 0.12858]. Sign change detected between p = 0.115 and 0.12. Tier 1 Law Verification Operational sanity check for Lyapunov convergence on ibm_fez with γ = 0.8783 confirms full convergence (zero fraction = 1.0) observed at T = 20, consistent with theoretical Tmin = 18. Decoder Baseline Validation Toric code baseline (toric_L3, n=18, k=2) validates decoder implementation with observed threshold ~0.103, matching Dennis et al. 2002. Target Code Specification Genus-5 surface code for Gap G1/G5 closure defined as genus5_surface_code_lcl832_v2 with n = 832 physical qubits, k = 10 logical qubits, LLR-weighted MWPM decoder, and rotation-system face construction. Attestation I, Guillaume Lessard, attest to the accuracy of this data report as generated on the IBM Quantum Platform and processed through the LCL-832 Master Testbench. Signed: Guillaume Lessard Date: March 19th, 2026 Organisation: iD01t Productions Related Publication Lessard, G. (2026). LCL-832 Master Edition: A Bounded Quantum-Computational Framework for Self-Referential Cognitive Systems (Version 4.0). Zenodo. https://doi.org/10.5281/zenodo.19119790 License CC BY 4.0