Status

Phase 1 complete; Phase 2 prepared

The Phase 1 DLA-parity campaign completed on ibm_kingston (IBM Heron r2) in April 2026 and is published in full on the Phase 1 results page. The follow-up Phase 2 campaign is prepared and tested, and is queued to run once additional hardware time is available.

In the meantime, work continues on paper drafting, website improvements, independent-replication preparation, and the cross-repo SCPN-Fusion-Core integration.

Past — Completed Milestones

2020–2024
SCPN classical framework developed
15+1 layer model, $K_{nm}$ coupling formulation, UPDE engine, Kuramoto-XY reduction for Layer 11–12. Python + Rust classical simulator. No hardware work yet.
2025-12
SCPN-Quantum-Control repository born
First Python package with a bridge from $K_{nm}$ to a Qiskit XY Hamiltonian. Initial scope: 4 subpackages (bridge, phase, analysis, hardware). Pre-release v0.1.0.
2026-02
First hardware campaign on ibm_fez
IBM Heron r2, 156 qubits. VQE ground state (4q), Kuramoto XY evolution (4q), qubit-scaling probe (6q), UPDE-16 snapshot (16q, depth 770). 33 jobs, 176,000+ shots. Confirmed the basic pipeline works but ran into the depth 250–400 coherence wall. v0.7.x series.
2026-03
Rust engine, novel algorithms, evidence-bound warmed benchmarks
PyO3 rewrite of the heavy paths: Hamiltonian construction, Pauli operations, Krylov, OTOC, Lindblad, Monte Carlo. GUESS symmetry-decay mitigation and DynQ qubit placement integrated. DLA parity theorem derived and coded into the classical simulator. 19 subpackages reached. v0.9.x series.
2026-04-10
Phase 1 campaign on ibm_kingston — 342 circuits
Four sub-phases (phase1_bench, phase1_5_reinforce, phase2_exhaust, phase2_5_final_burn) executed back-to-back on ibm_kingston (Heron r2). 342 circuits at $n=4$, 8 Trotter depths, up to 21 repetitions per point. ICI pulse integrator and (α, β)-hypergeometric pulse family landed in the same window.
2026-04-10
First hardware confirmation of DLA parity asymmetry
Analysis of the 342-circuit dataset via Welch's two-sample t-test per depth + Fisher's combined statistic. Result: 7 of 8 depths individually significant at $p < 0.05$, combined $p \ll 10^{-16}$. Mean asymmetry $(10.8 \pm 1.1) \%$ for $d \ge 4$, peak $+17.5 \%$ at $d = 6$. The observed magnitude falls inside the independent classical prediction band at large depth.
2026-04-11
Full documentation refresh + short paper drafted
21 documentation surfaces refreshed (README, architecture, rust_engine, error_mitigation, pipeline_performance, contributing, hardware_guide, equations, API, quickstart, installation, test_infrastructure, changelog, roadmap, and so on). Short paper drafted for the Phase 1 DLA-parity result.
2026-04-11
Website expansion — seven new pages
Dedicated Phase 1 results page with interactive Plotly plot. Reproducibility manifest with per-commit pinning. Three methodology deep-dives (GUESS, DLA parity, pulse shaping). Conceptual science primer. This timeline. Inline SVG architecture diagram on the overview page.

Now — In Progress

ongoing
Short paper polish + reviewer-ready figures
Tightening the prose of the Phase 1 DLA-parity manuscript and preparing the exact figure set for submission. Initial target: Quantum Science and Technology Letter. Alternative: Physical Review Research.
ongoing
Cross-repo wiring with SCPN-Fusion-Core
Same XY compiler bridge; ITER tokamak mode-coupling predictions will reuse the GUESS calibration when Phase 2 data lands.

Next — Planned

planned
Phase 2 campaign on ibm_kingston
Ready to run once additional hardware time is available. ~1,200 circuits, 7 sub-experiments A–G. Extensions: higher statistics at $n=4$ (30 reps per point, 10 depths), first scaling law at $n \in \{6, 8, 10, 12\}$, dedicated GUESS calibration sub-sweep with circuit folding factors 1, 3, 5. Full protocol →
planned
Independent replication on a second Heron r2 device
The same 342-circuit protocol on a second Heron r2 device, to rule out any device-specific calibration artefact in the Phase 1 result.
planned
Phase 2 results page on anulum.li
New phase2-results.html to live alongside the Phase 1 page. Same format: plain-language summary, figures, full Welch table, interactive plot, reproducibility block, BibTeX.
planned
Paper submission
Submit the short paper to Quantum Science and Technology or Physical Review Research. Aim: open-access, AGPL code release as supplementary material, data as Zenodo deposit.
planned
Phase 3 scaling law
Closed-form model of the asymmetry $A(n, d)$ as a function of qubit count and depth, fit to the Phase 2 data. Predictive, not descriptive.

Later — Speculative

Cross-disciplinary validation. The SCPN Kuramoto-XY framework is a general model of coupled-oscillator synchronisation, so it can be applied to neural-synchronisation datasets as a validation of the framework outside quantum hardware. Such cross-disciplinary applications are a longer-horizon direction.

Fault-tolerant scaling. The current depth 250–400 coherence wall on Heron r2 is a hard limit for NISQ-era experiments. Phase 4 (2027+) will target logical-qubit hardware — either Heron r3 with biased-noise surface codes or trapped-ion processors — to take the parity asymmetry measurement into regimes where the classical simulator can no longer keep up.

SCPN meta-papers. The SCPN Master Publications (Zenodo DOI 10.5281/zenodo.17419678) are the framework-level companion to this engineering work. Future papers in that series will integrate the SCPN-Quantum-Control hardware results as experimental checks on the layer stack.

Related Pages

The current headline scientific result in full detail.
Version-by-version code changes, release notes.
Per-commit pinning for every result listed here.