UCT Prediction 2 (Stage 3c): Certified Z₂³_SUPPORTED Result on IBM Fez Under Topological Gate
Gabriel Steiger
Abstract
Certified result-of-execution report for the UCT compression-interface (Z_2)^3 prediction at d=3, executed on IBM Fez (qubits 15, 2, 23) under the topologically natural gate locked at Stage 1c (DOI 10.5281/zenodo.20404635) and the platform lock at Stage 2c (DOI 10.5281/zenodo.20404728).Outcome: Z2M_SUPPORTEDThe locked operational estimator returned f̂ = 0.87500000 exactly, matching the (Z_2)^3 prediction f = 7/8 to all decimal places, with bootstrap σ(f̂) = 0.0 across all 200 multinomial resamples. The Stage 1c topological gate passed with R_gap = 6.46 (threshold ≥ 3.0), 2.15× the locked threshold. The statistical-power gate (σ(f̂) ≤ 0.007) passed at σ(f̂) = 0.0.Singular-value spectrum of the (Z_2)^3-symmetrized POVM matrix: σ_1 = 1.0000, σ_2 = 0.0116, σ_3 = 0.0077, σ_4 = 0.0017, σ_5-σ_8 below 10^-4. With SVD threshold τ = 0.05 × σ_1 = 0.0500, the estimated singlet dimension m̂_0 = 1, supporting (Z_2)^3 architecture.Compared to the historical Stage 3 outcome (DOI 10.5281/zenodo.20360386, INDETERMINATE under Stage 1b's union-bound mundane gate on qubits 15/25/56 and an older calibration epoch), Stage 3c uses the topologically natural gate, fresh qubit triple (15/2/23) selected by composite quality at the new calibration epoch, and yields the certified Z2M_SUPPORTED outcome with R_gap = 6.46 (vs ~4.25 retroactively on Stage 3 data).IBM Quantum job ID: d8b5cbtmdd1s73b93a2gFiles in this deposit:uct_prediction_2_result_fez_stage3c.md — full report (SHA-256: 93f152046741e03bf231e7a650e80b02b4a6c6aac8b0885506f990f2bc6b4518, 8247 bytes)stage3c_analysis_result.json — analysis JSON with bootstrap distribution, singular values, R_gap, gate details, decision rule output (SHA-256: 99107f374dacfeef07b0b2976ae3cd4f193f6178bec6a855aa4839461d974b2a, 1817 bytes)stage3c_raw_counts.json — raw IBM Fez shot counts for all 36 circuits (SHA-256: 67aac6d2637ac2477696181367b103aea597b1d1758a397fe3c92934f39cdf2c, 2682 bytes)Complete lock chain:Stage 1: 10.5281/zenodo.20360004Stage 1b: 10.5281/zenodo.20360259Stage 1c: 10.5281/zenodo.20404635 (gate authority)Stage 2: 10.5281/zenodo.20360347 (historical — different qubits/cal)Stage 2c: 10.5281/zenodo.20404728 (platform lock)Stage 3: 10.5281/zenodo.20360386 (historical — INDETERMINATE under old gate)Stage 3c: THIS DEPOSIT — certified Z2M_SUPPORTED