Notes

Nadarasa · release note

v0.4.4 — Step C-2q closes

v0.4.4 is the follow-up beat to v0.4.3: it finishes the deferred PQP Frontier Step C-2q noise sweep and clears the ground for the next experimental gate, a native Floquet port on Selene.

Step C-2q result

90/90 cells PASS across 9 noise levels including realistic H2-2 depolarizing rates and leakage. Rule (M) remains sound on noisy Selene shots.

/nadarasa/proofs/noise-2q

Next gate

Native Floquet cycle on Selene: a small heavy-hex (or 1D chain) mixed-field Ising magnet, ported from the Leviatan et al. 2026 reading note in G19.

G19 reading note

Noise sweep summary

  • ideal: 10/10 PASS (mean worst Δp 0.1219)
  • depol_p005: 10/10 PASS (mean worst Δp 0.1195)
  • depol_p010: 10/10 PASS (mean worst Δp 0.1195)
  • depol_p020: 10/10 PASS (mean worst Δp 0.1266)
  • depol_h2: 10/10 PASS (mean worst Δp 0.1137)
  • depol_h2_5x: 10/10 PASS (mean worst Δp 0.1211)
  • depol_h2_20x: 10/10 PASS (mean worst Δp 0.1195)
  • leak_p005: 10/10 PASS (mean worst Δp 0.1332)
  • leak_h2: 10/10 PASS (mean worst Δp 0.1246)
  • Verdict at depol_h2: 100% → 2q_equivalence_survives_noise

What the result means

The v0.4.0 milestone proved that rule (M) is physical on ideal Selene shots. Step C-2q asks whether the same 10 shortest PROMOTED 2q identities survive realistic depolarizing and leakage channels. Because both sides of each identity A ≡ B experience the same noise, the residual difference should stay below the 4σ binomial threshold 4·√(0.5/shots) per cell. The data shows it does, even at 20× H2-class depolarizing rates and at H2-class leakage.

The realistic acceptance level is depol_h2 (H2-2 gate/readout rates), which is now 10/10 PASS. The 5× and 20× levels, plus the leakage levels, are stress diagnostics that confirm the rule is robust rather than narrowly tuned.

See also: v0.4.3 changelog, noise sweep matrix, research log.