Quantum Polycontextural Computing (QPC) takes published industry problems and runs them on IBM Heron r2 gate hardware as a polycontextural architecture: several objectives co-resident, coupled, one submission.
Plain English
Problems are cast as QUBO / BQM. A quantum annealer searches low-energy states of that single objective landscape. Hybrid tools often loop classical optimizers around repeated annealer calls.
Typical marketing: logistics, inventory, scheduling, with surveys and vignettes. QPC’s public cases carry open data and named IBM job IDs on the exact instance.
Problems are expressed as circuits (cost layers, mixers, measurements). QPC places several objective contextures on one device layout, coupled by transjunctions, in one submission.
We report the same business metric as the published study (portfolio score, QUBO cost, energy) plus auditable IBM job IDs.
D-Wave business PDF (Wakefield survey, 2025) lists problem themes (supply chain, routing, ROI). QPC’s public cases use open academic and vendor datasets with scores and IBM job traces.
| QPC on IBM Heron r2 | What you can check |
|---|---|
| Real business structure (multi-objective, spatial synergies, cardinality) as one polycontextural workflow on gate hardware | Named IBM Runtime job IDs on every public case |
| The same numeric metric as the published external reference | Open data plus the published evaluate() score on Cerrado, and matching cost fields on catalogue rows |
| Industry-standard decoding (noise reducer + portfolio repair) around the quantum samples | Documented decoder scores next to the job IDs |
The public architecture is:
On IBM Heron r2 (156 qubits), the Cerrado full-width deployment uses 3 × 52 qubits = 156Q: balanced contextures across the chip.
External reference: Ribeiro 2026, arXiv:2602.09047. QAOA on IBM for municipality portfolio selection in Goiás (Brazilian Cerrado). Open data: github.com/hgribeirogeo/qaoa-carbon-cerrado.
evaluate() function.Verified on IBM Heron r2 · ibm_fez (July 2026): QPC polycontextural decoder on quantum samples from one coupled job, same published ESG metric.
Full Ribeiro instance (n=88, k=28): decoder score 44.419 · job d94mmrnu62ks73967jh0.
Full-width 156Q layout (3 × 52 qubits, n=28, k=7): decoder score 5.288 · job d94lljsql68s73c9mq50.
| QPC execution | Instance | IBM job ID | Decoder portfolio score |
|---|---|---|---|
| QPC polycontextural (one run) | n=88, k=28 | d94mmrnu62ks73967jh0 | 44.419 |
| QPC polycontextural (156Q · 3×52) | n=28, k=7 | d94lljsql68s73c9mq50 | 5.288 |
Architecture baselines, ICC, and earlier Fez decoder passes: Cerrado comparison report.
Architecture proof (separate from portfolio score): coupled QPC runs on the same Cerrado data show inter-context correlation (ICC). Toy 3/3 seeds, n=12 pass, Heron r2 n=28 per-boundary pass on biodiversity↔social. See Separability results and Architecture program.
| Pattern | Submissions | Cerrado example |
|---|---|---|
| Sequential objective jobs (Classiq / multi-cloud style) | 3+ | Carbon QAOA, biodiversity QAOA, social QAOA → classical merge |
| Single weighted QUBO + QAOA (+ ZNE in paper) | 1 (+ folds) | Ribeiro baseline on the published instance; QPC runs the same metric on IBM Heron r2 |
| QPC polycontextural | 1 (+ optional ZNE folds) | Three contextures + transjunctions on ibm_fez 156Q. Decoder score 44.419 on n=88 |
D-Wave’s survey PDF and website describe the same class of decisions: hard combinatorial choices under competing KPIs (cost, ESG, risk, geography). QPC’s public proof is reproducible numbers on IBM Heron r2.
One-sentence positioning: QPC executes published real-world optimization structure as one polycontextural IBM Heron r2 submission, with open data and verifiable job IDs.
We maintain a growing list of vendor-adjacent tasks with open data: