Workloads where QPC reports the same objective number as an external reference: published paper, classical baseline, or inequality bound, with auditable IBM job IDs.
D-Wave “Proof of Quantum Work” blockchain (Leap demo) is a quantum-hash consensus demo on annealers. Different subject. Different metric. The rows below are folding energy, QUBO cost, ICC, and related architecture numbers.
Dedicated comparison program: same published D-Wave demo classes executed on IBM Heron r2 via QPC. Feature selection, bin packing, and fleet routing. What you can do on quantum optimization, QPC delivers on gate hardware too.
Special Report → Joint Structure Challenge →Published industry-style business tasks replayed on IBM Heron r2 with QPC polycontextural architecture. Same metrics as external studies. Auditable job IDs.
| Status | Task | Metric | QPC result | Report |
|---|---|---|---|---|
| ✓ Live | Ribeiro 2026 · Cerrado carbon portfolio (arXiv:2602.09047) | Portfolio score | QPC decoder 44.419 · IBM Heron r2 · ibm_fez · d94mmrnu62ks73967jh0 |
Overview · Technical |
| ✓ Live | D-Wave open demos · MIQUBO, binpack, MVRP (Cases 1–3) | QUBO energy gap vs reference | Gap 0.00 · ibm_fez Heron r2 · 152Q · jobs on record | Special Report |
| ● Next | D-Wave Mendeley 45 QUBO instances (MaxCut / TSP / Knapsack) | QUBO energy vs published NL-Hybrid | Planned. Same Hamiltonian on IBM | Catalog A2 |
| ● Next | D-Wave Taillard flow-shop scheduling vignette | Optimality gap vs best known | Planned. Supply-chain narrative | Catalog B1 |
| ● Next | LR-QAOA weighted MaxCut (cross-vendor IBM study) | Approximation ratio r | Planned. Multi-context on Heron r2 | Catalog A1 |
| # | External baseline | Metric | QPC | Report |
|---|---|---|---|---|
| 1 | IonQ / Kipu BF-DCQO (mastoparan I) | Energy after repair (↓ better) | QPC −9.74 · random −10.65 · IonQ ref −8.70 · raw IonQ −4.19 | Protein |
| 2 | Controlled K=1 | Held-out fit | K=4 > K=1 (same resources) | QQ pilot |
| 3 | Classical KS bound | Witness vs bound | Heron Fez + mitigation | KS |
| 4 | Single-context baseline | ICC, FSP | Multi-context PFQM | PFQM |
| 5 | Classical per-context optimum (same grid) | QAOA objective J | proprietary (NDA) | GIC Case 3 JSON |
| 6 | IBM console audit | Job IDs, tiers T1–T4 | 4→24 contexts | Open instance |
| 7 | Separable control (same backend) | ICC gap (coupled − 3-job) | Pass toy 3/3; Cerrado; Heron boundary | Separability |
| 8 | E8 sphere packing (known 8D optimum · calibration) | 8 parallel certificate checks; one IBM job | 152Q · job d8o47bjqv2lc7389jo60 · plain-language report |
E8 test |
● Separability falsification. ICC gap coupled vs independent IBM jobs; auditable on ibm_fez. Architecture metric.
Architecture program hub Joint Structure Challenge Separability results
● Transjunction ON vs OFF / ICC. Completed on toy + Cerrado; see separability report.
● Cross-hardware JSC replication (IonQ / Quantinuum). L5 open.
qaoa_best_objective_during_search, qaoa_objective_on_final_noiseless_histogram, classical baseline in output JSON.docs/QPC_COMPARABLE_BENCHMARKS_SHEET.mdSuggested standard add-ons: Qiskit MaxCut (approximation ratio), small Gset QUBO vs tabulated best. Same metric as literature, 1-context vs N-context on IBM.