SCIENTIFIC DATA REPORTS: LCL-832 RESEARCH PROGRAMME

SCIENTIFIC DATA REPORT: LCL-832 RESEARCH PROGRAMME v3.0 Empirical Validation Data for the LCL-832 Quantum-Computational Framework This scientific data report (Version 3.0 | Updated Full Data Compilation, March 20th, 2026) presents comprehensive empirical and mathematical validation results supporting the LCL-832 framework. Data was generated on the IBM Quantum Platform (ibm_fez Tier-1 hardware) and processed through the LCL-832 Master Testbench v5. The target code is now fully characterised as [[832,10,4]] with exact distance d=4 [MATH-VERIFIED]. Contents Distance Verification [MATH-VERIFIED]: Exact minimum distance d = 4 confirmed for the [[832,10,4]] genus-5 CSS surface code via exhaustive enumeration of all 2¹⁰ logical cosets (GF(2) row reduction + ILP minimum-weight search). No logical operators of weight 1, 2, or 3 exist in any coset; explicit weight-4 operators confirmed in multiple cosets. 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. G5d Direct Pseudothreshold Estimation (Genus-5 Target Code): First direct Monte Carlo sweep on the full [[832,10,4]] code using LLR-weighted MWPM decoder yields CROSSING_MARGINAL at p_pseudo ≈ 0.000667 (95% CI [0.000545, 0.001869]). G5v Toric Decoder Baseline Validation: Extended sweep on toric_L3 (n=18, k=2) from p=0.02 to 0.12 confirms CROSSING_MARGINAL at p_pseudo ≈ 0.061, consistent with finite-size scaling toward the known thermodynamic threshold ~0.103 (Dennis et al., 2002). Tier 1 Law Verification: Operational sanity check for Lyapunov convergence on ibm_fez with γ = 0.8783 confirms full convergence (zero fraction = 1.0) at T = 20 (prior session LAW_GRADE result retained; T_min = 18). Target Code Specification: genus5_surface_code_lcl832_v2 — 832 physical qubits, 10 logical qubits on genus-5 surface (χ = -8), exact d=4 [MATH-VERIFIED], LLR-weighted MWPM decoder, rotation-system face construction. Overall Verdict: PUBLICATION_READY (all required tier verdicts passed; exact d=4 closes the final mathematical gap). Attestation I, Guillaume Lessard, attest to the accuracy and completeness of this scientific data report v3.0 as generated by the LCL-832 Master Testbench v5 on March 20th, 2026. All claims are labelled with their epistemic status. The minimum distance d = 4 of the [[832,10,4]] code is confirmed by exhaustive coset search over all 1024 logical cosets. Full SHA-256 digests and tier verdicts are included. Signed: Guillaume Lessard Date: March 20th, 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