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Maximum-Width Kuramoto-XY Campaign Preregistration (WIDTH-1)

Date: 2026-07-16

This preregistration prepares the maximum-workload-width campaign on an IBM Heron r2 backend. It does not submit an IBM job, reserve backend time, or authorise QPU spend — every submission additionally requires an owner GO with the exact shot plan and a seconds-level cost estimate, and executes only after the 2026-07-16 public-claim corrections are green on main.

Motivation and honesty context

Every executed hardware workload in this repository to date spans 2–16 qubits (verified 2026-07-16: maximum bitstring width across all committed result artefacts is 16), while the deployment chip is 156-qubit. The honest response to that gap runs in both directions: the public record now states the workload width explicitly, and this campaign measures how far the width can actually be pushed. Both directions are the same discipline.

Scientific question

How does the measured Kuramoto-XY phase order parameter R degrade with workload width n for shallow synchronisation circuits on a Heron r2 processor, from n = 32 to the maximum usable width of the device, and how does the degradation compare with an exact classical tensor-network baseline of the same circuits?

Claim boundary

Supported after successful execution and analysis:

  • workload-width engineering evidence: the widest executed Kuramoto-XY circuit with committed raw counts and a verifier;
  • an R(n) hardware-vs-baseline degradation curve with readout mitigation reported on/off;
  • per-qubit diagnostic structure at each width.

Blocked even after a positive result:

  • ANY quantum-advantage claim — the preregistered circuits are shallow and one-dimensional, hence efficiently classically simulable by construction (the committed MPS/TN baseline is exact for them);
  • extrapolation beyond the sampled backend, calibration window, and depths;
  • synchronisation-dynamics claims beyond the measured observable.

A degraded or unusable R at large n is a publishable outcome of equal standing.

Circuit matrix

Field Value
Topology 1-D nearest-neighbour chain selected by DynQ over the full chip from fresh calibration data
Widths n 32, 64, 104, then device-max usable chain length
Coupling model Kuramoto-XY chain, exponential-decay K_nm profile as in the repository's standard workload family
Evolution first-order Trotter, reps ∈ {1, 2}
Measurement settings 2 per width: all-qubit X basis, all-qubit Y basis
Observable R = n⁻¹ · sqrt[(Σ_k ⟨X_k⟩)² + (Σ_k ⟨Y_k⟩)²] from the two settings
Main shots ≤ 4096 per setting per width point
Readout mitigation per-qubit readout-matrix calibration circuits; R reported mitigated and unmitigated
Classical baseline exact MPS/TN simulation of the identical circuits, committed with the pack

Budget and abort criteria

  • Estimated total QPU wall: 2–4 minutes within the remaining ~18-minute IBM Open-plan budget (owner decision 2026-07-16: shared with the Bell re-run and RC-1 lanes).
  • Abort before submission if: fresh calibration shows median two-qubit error above the DynQ region-selection threshold for the target width, or the backend queue rejects the width.
  • Abort after any width point whose retrieval fails integrity coercion (hardware/_count_integrity.py) — partial campaigns are recorded as partial, never padded.

Evidence protocol

Submission record, retrieval record, hash-bound result pack with raw counts and verifier, and a hardware-status-ledger row precede any public quotation of a number, per the standing evidence rules. Fake or placeholder counts are structurally excluded (fail-closed coercion; see the April 2026 count-integrity incident note).

Status

  • [ ] NOW-block corrections green on main (prerequisite)
  • [ ] Owner GO with exact shot plan (per submission)
  • [ ] Executed / analysed / packed / ledgered