Honest result-of-execution report documenting the outcome of testing the UCT compression-interface (Z_2)^3 prediction on IBM Fez (qubits 15, 25, 56) under the pre-registered Stage 1 / Stage 1b / Stage 2 lock chain. Locked operational estimator returned f̂ = 0.87500 exactly, matching the (Z_2)^3 prediction f = 7/8 to all decimal places, with bootstrap σ(f̂) = 0 (200 replicates). The singular-value spectrum of the symmetrized POVM matrix shows a clean 40× gap (σ_1 ≈ 1.00, σ_2 ≈ 0.025), confirming Fez implements a (Z_2)^3-covariant POVM cleanly. The locked mundane-source-budget gate failed (ε_mundane ≈ 0.124 > 1/16), so the formal outcome under the locked decision rule is INDETERMINATE. The report includes: per-qubit POVM tomography results, full SVD spectrum, mundane budget breakdown, methodological diagnostic on estimator-gate asymmetry, and an honest timeline note (Stage 2 file SHA pre-dated the data; deposit timestamp post-dated execution by ~15 minutes). Linked deposits:Stage 1: 10.5281/zenodo.20360004Stage 1b: 10.5281/zenodo.20360259Stage 2: 10.5281/zenodo.20360347SHA-256 of this report: c361098d2e361c47ccd1d29590ea6ccf244879431229e438cf718a2ec0ea4c85Byte count: 8816
Honest result-of-execution report documenting the outcome of testing the UCT compression-interface (Z_2)^3 prediction on IBM Fez (qubits 15, 25, 56) under the pre-registered Stage 1 / Stage 1b / Stage 2 lock chain. Locked operational estimator returned f̂ = 0.87500 exactly, matching the (Z_2)^3 prediction f = 7/8 to all decimal places, with bootstrap σ(f̂) = 0 (200 replicates). The singular-value spectrum of the symmetrized POVM matrix shows a clean 40× gap (σ_1 ≈ 1.00, σ_2 ≈ 0.025), confirming Fez implements a (Z_2)^3-covariant POVM cleanly. The locked mundane-source-budget gate failed (ε_mundane ≈ 0.124 > 1/16), so the formal outcome under the locked decision rule is INDETERMINATE. The report includes: per-qubit POVM tomography results, full SVD spectrum, mundane budget breakdown, methodological diagnostic on estimator-gate asymmetry, and an honest timeline note (Stage 2 file SHA pre-dated the data; deposit timestamp post-dated execution by ~15 minutes). Linked deposits:Stage 1: 10.5281/zenodo.20360004Stage 1b: 10.5281/zenodo.20360259Stage 2: 10.5281/zenodo.20360347SHA-256 of this report: c361098d2e361c47ccd1d29590ea6ccf244879431229e438cf718a2ec0ea4c85Byte count: 8816
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
Stage 2 platform-and-execution lock for the (Z_2)^3 branch of the UCT compression-interface theorem at d = 3 / m = 3, to be tested on IBM Fez. Companion to Stage 1 (DOI 10.5281/zenodo.20360004) and Stage 1b (DOI 10.5281/zenodo.20360259). Locks: backend = ibm_fez; qubits = [15, 25, 56]; calibration epoch = 2026-05-23T21:39:41Z (calibration CSV SHA-256 ca91f71a3e81d97e51c082ea95326f222963c6186ac1b470bb3495aac1901c4a); analysis script uct_d3_fez_test.py SHA-256 69e5f1dd042f53545e10102d1a14e2d8a3c340ac40bf177a81e053ad724272a0; N_each = 16000; bootstrap seed = 20260523; SVD threshold fraction = 0.05. Architecture is (Z_2)^3 per Stage 1b Section 4.3 (Z.1–Z.5 satisfied). This deposit tests the (Z_2)^3 discriminator branch with predicted f = 7/8 = 0.8750; U(3) primary prediction remains locked at Stage 1b awaiting qudit-capable hardware. Job to be submitted within 24-hour calibration validity window. Result reporting commitment includes INDETERMINATE outcomes at equal prominence. SHA-256 of Stage 2 pre-registration file: 2ec0a56f83541ab93ee843382591c0172dab49e8c7a1b55c94306e02dfdd2a2dByte count: 7334
Fresh IBM Fez platform-lock pre-registration for executing the (Z_2)^3 prediction under the Stage 1c topological gate (DOI 10.5281/zenodo.20404635). Locks: backend ibm_fez, qubits (15, 2, 23), calibration snapshot of 2026-05-27T02:18:29Z (SHA-256 3f69b12d793b7c0cfc1f7cb343b3a0b8c40f04ae3a6239f7e3edd48192dadd1d), analysis script SHA-256 69c5e040c96f8b0f3fd50bc5014a63b4d461129d2e2affb0297f54887d871534, execution parameters (16,000 shots per circuit, 36 circuits total, bootstrap seed 20260526), and outcome reporting commitment.The Stage 1c gate authority (R_gap = (τ - σ_2) / std(σ_2^bootstrap) ≥ 3.0 with m̂_0 = 1) replaces Stage 1b §6.2's union-bound mundane gate. All other Stage 1b provisions (predictions 7/8 vs 8/9, operational f̂ definition, statistical-power requirement, Bayes-factor decision rule) remain in force.This Stage 2c is distinct from Stage 2 (DOI 10.5281/zenodo.20360347) which locked qubits (15, 25, 56) against a 2026-05-23 calibration epoch and yielded the INDETERMINATE Stage 3 outcome (DOI 10.5281/zenodo.20360386) under the old gate. The present Stage 2c lock targets a fresh calibration epoch and a freshly-quality-ranked qubit triple, and the certified execution under this lock will produce a Stage 3c result-of-execution report.Files in this deposit:uct_prediction_2_pregist_stage2c_fez.md — platform pre-registration document (SHA-256: f37062bc98e9429ffe6e92fea135ad6ff729a56c00606337747872d0a4b00dc9, 10320 bytes)ibm_fez_cal_snapshot_2026-05-26.json — locked Fez calibration snapshot (SHA-256: 3f69b12d793b7c0cfc1f7cb343b3a0b8c40f04ae3a6239f7e3edd48192dadd1d, 19485 bytes)Calibration validity window: Fez job to be submitted within 24 hours of snapshot time (by 2026-05-28T02:18:29Z). Beyond that window this Stage 2c is invalidated and a fresh Stage 2 must be deposited.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 and cal epoch)Stage 3: 10.5281/zenodo.20360386 (INDETERMINATE under old gate — preserved as historical record)
Stage 1c companion to Stage 1b (DOI 10.5281/zenodo.20360259) of the UCT no-new-constants quantum readout floor prediction. This deposit supersedes only Stage 1b Section 6.2 (the union-bound mundane-source pre-test gate) and replaces it with an estimator-coupled topological gate derived from the Weyl-Davis-Kahan spectral gap theorem.The Stage 3 IBM Fez execution (see linked Stage 2 and Stage 3 deposits) returned f̂ = 7/8 = 0.87500 exactly with bootstrap σ(f̂) = 0 — consistent with the (Z₂)³ prediction — but the Stage 1b union-bound gate failed (ε_mundane ≈ 0.124 > 0.0625) because it summed G-invariant and non-G-invariant noise sources without accounting for the symmetrization step that removes G-invariant contributions from the estimator.The Stage 1c topological gate passes iff: (i) m̂₀ = 1 (single singlet dimension); and (ii) R_gap = (τ − σ₂) / std(σ₂^{bootstrap}) ≥ 3.0, where τ = 0.05 × σ₁ is the locked SVD threshold. Under this gate the Stage 3 data yields R_gap = 4.25 (PASS), certifying Z₂³_SUPPORTED on the same dataset.All other Stage 1b provisions (predictions 7/8 and 8/9, architecture classifier, operational f̂ definition, statistical-power requirement, decision rule, falsification criterion) remain in force unchanged.Two files are deposited: the pre-registration markdown and the analysis script implementing the topological gate.SHA-256 hashes (locked):Pre-registration: f798062e46a51ca884b037a1d52378541d8cf2b760d9ae780bf411abcb1f36f9 (13285 bytes)Analysis script: 2d6824e11be21c73c54ca04e0cb277973dce81e05e6500a42d86eca28b5c0452 (28215 bytes)Parent pre-registrations:Stage 1: 10.5281/zenodo.20360004Stage 1b: 10.5281/zenodo.20360259Stage 2: 10.5281/zenodo.20360347
Stage 1b pre-registration of a no-new-constants forward prediction derived from the UCT compression-interface theorem at d = 3 / m = 3. Companion deposit to Stage 1 (DOI 10.5281/zenodo.20360004); does not modify Stage 1. Predicts the structured readout floor f_U(3) = 8/9 ≈ 0.8889 for U(3)-covariant readout and f_{Z_2^3} = 7/8 = 0.8750 for sign-channel readout (gap 1/72 ≈ 1.4%). Contains: theoretical input, prediction and discriminator, five-criterion architecture classifier, precise operational definition of the locked observable f̂ via per-qubit POVM tomography + group symmetrization + singular-value-based singlet dimension estimation, mundane-source noise budget with pre-test gate (1/16), statistical-power requirement, Bayes-factor decision rule, and falsification criterion. Designed to be testable on current superconducting-transmon hardware (e.g. IBM Fez) where the d = 5 budget gate is not yet achievable. No retroactive parameter tuning, target relabelling, architecture reclassification, or modification of the f̂ definition is permitted under this lock. SHA-256 of pre-registration file: f7b99b1f70f4b5d28281da686443ccf7d1ebd36eaee252b121c526254da48b83Byte count: 16654Stage: 1b of 2 (protocol and prediction lock at d = 3 / m = 3, platform-agnostic core)Companion to Stage 1: DOI 10.5281/zenodo.20360004
Stage 1 pre-registration of a no-new-constants forward prediction derived from the UCT compression-interface theorem at d = 5. Predicts the structured readout floor f_U(5) = 24/25 = 0.9600 for U(5)-covariant readout, with primary discriminator f_{Z_2^5} = 31/32 = 0.96875 for sign-channel readout. Contains: theoretical input, prediction and discriminator, five-criterion architecture classifier, mundane-source noise budget with pre-test gate, statistical-power requirement, Bayes-factor decision rule, falsification criterion, and Stage 2 commitments. No retroactive parameter tuning, target relabelling, or architecture reclassification is permitted under this lock. SHA-256 of pre-registration file: a4526c9e03904fba70c18fd291b03e10d9f338cae591ddaaabf5339ebf0ac0eeByte count: 12664Stage: 1 of 2 (protocol and prediction lock, platform-agnostic)