I.13 Numerical certificates
On this page · Permalink · Source line 1260
The original manuscript reports CPU experiments and a suite of 22 tests. It makes no claim about GPU computation. The values below reproduce that historical report and have not been recomputed for this prose revision. These numerical observations are separate from the 323 declarations in the selected finite formal checkpoint of 6 September 2026. The recovered numerical source and raw records accompany the source corpus. A displayed floating-point residual of zero records the reported computation and does not independently prove equality in exact arithmetic.
| Certificate | Value |
|---|---|
| Bell-state residual | \(0\) |
| Three-qubit seed-orbit rank | \(8/8\) |
| Parity off-block norm | \(0\) |
| Circuit path reconstruction residual | \(0\) |
| Exact-symmetry maximum leakage | \(0\) |
| Maximum leakage-bound violation | \(0\) |
| Feshbach projected-resolvent residual | \(3.2291\times10^{-17}\) |
| Bare-truncation projected-resolvent residual | \(1.3091\times10^{-2}\) |
| Moving-frame residual with connection | \(1.0645\times10^{-10}\) |
| Moving-frame residual without connection | \(7.0000\times10^{-1}\) |
| Canonical packet-connection residual | \(0\) |
| Bloch-curvature residual | \(2.0803\times10^{-11}\) |
| Kraus completeness residual | \(0\) |
| Output trace residual | \(0\) |
| Knill–Laflamme residual | \(0\) |
| Bit-flip recovery residual | \(1.0385\times10^{-16}\) |
| Tensor parity-refinement residual | \(0\) |
| Circle low-mode convergence order | \(1.99936\) |
| One-dimensional spectral plateau | \(1.00062\) |
| Two-dimensional spectral plateau | \(2.03781\) |
| Minimum Euclidean-transfer eigenvalue | \(0.0767054\) |
| Transfer semigroup residual | \(0\) |
| Volume-packet reconstruction residual | \(0\) |
The original reported count is
The 19 original figures are retained from the recovered numerical companion. The separate visual guide supplies a reading route through these constructions and the later strengthened results.