Three contextures in one Fez job. Ferromagnetic, antiferromagnetic and spin-liquid readouts from the same circuit. Architecture metrics on raw counts.
Result. QPC ran the Polycontextural Frustrated Quantum Magnet on ibm_fez at 27, 64 and 128 qubits, 4096 shots, eight sweep angles. Campaign-mean ICC at 128Q is 0.187. ctx2 mean |ZZ| is 0.101 against the single-context control at 0.285.
How to read the sweep. The 0.187 ICC figure is the mean over eight θ values. Six of those eight 128Q angles sit above the 0.05 structured line. θ = 0 and θ = π sit below it. FSP advantage holds at 6 of 8 angles on 128Q and 5 of 8 on 64Q.
Where this sits now. This page is the April 2026 Fez architecture ladder. Later QPC desks run at 156 qubits on ibm_kingston and ibm_marrakesh. See Real-World Desks.
A frustrated magnet holds competing orderings at once: ferromagnetic, antiferromagnetic, and spin-liquid. QPC assigns each to a distinct contexture. Those contextures sit in one circuit, couple through transjunctions, and return one joint readout.
The control arm on the same backend is a single-context circuit. The contrast is architectural: one QPC job with three co-resident logics, scored against one single-context job on ibm_fez.
ctx2 |ZZ| suppression against the single-context control. The spin-liquid contexture carries the frustration signature in the same shot record as FM and AFM.
Transjunctional structure between contextures. Campaign mean at 128Q is 0.187. The 0.05 line is the structured-ICC gate used on the θ sweep.
ctx0, ctx1 and ctx2 return distinct |ZZ| profiles in one measurement: ferromagnetic ordering, antiferromagnetic structure, and spin-liquid suppression together.
Every number below is a raw hardware result on IBM Heron r2 ibm_fez. Job IDs sit on the results page.
The same three-contexture geometry ran at 27Q, 64Q and 128Q. ctx2 stays the lowest |ZZ| correlator at every width. ctx0 stays the highest. Distinct contexture identities hold across the three Fez runs.
Scale readout. ctx2 mean |ZZ|: 0.202 at 27Q, 0.076 at 64Q, 0.101 at 128Q. ctx0 remains the highest at each width. The single-context control sits above ctx2 at all three scales (0.427 / 0.333 / 0.285).
Eight θ values scan the ladder. At each angle, three contextures run in one 128-qubit circuit on ibm_fez and return one joint readout.
At θ = 0, ctx0 |ZZ| is 75.5% (ferromagnetic), ctx1 is 68.1% (antiferromagnetic), ctx2 is 7.0% (spin-liquid). One 128-qubit circuit, three distinct profiles. The single-context control at the same angle is 85.7%.
At θ ≈ 2.693 rad the spin-liquid contexture (ctx2) shows elevated |ZZ|. The same angle produces that inversion at 27Q, 64Q and 128Q.
θ = 2.693 rad: ctx2 |ZZ| = 0.294, ctx0 |ZZ| = 0.069, single-context control = 0.053. At this angle the spin-liquid contexture is the most ordered of the three QPC profiles.
Morphogram and transjunction schedules stay closed. The inversion is a measured architecture property on the published shot data.
Backend: IBM Quantum ibm_fez (Heron r2). Primary PFQM metrics are raw Sampler counts. All job IDs are on the results page.
Circuit construction, morphogram schedules and transjunction wiring stay proprietary.
| Parameter | 27Q | 64Q | 128Q |
|---|---|---|---|
| Mean ICC (8 θ) | 0.259 | 0.206 | 0.187 |
| ctx2 mean |ZZ| | 0.202 | 0.076 | 0.101 |
| FSP suppression (mean) | +0.193 | +0.235 | +0.182 |
| FSP advantage (angles) | 6 of 8 | 5 of 8 | 6 of 8 |
ICC and FSP are QPC architecture observables computed from the published shot data.