Reduced-scale model · small-system teaching model
How do interacting spins respond to a sudden change?
Compare a small gate approximation with exact four-spin Hamiltonian evolution.
- 1Predict
- 2Ideal
- 3Ideal Shots
- 4Hardware
- 5Interpret
- 6Lab note
Arrows encode local ⟨Z⟩, not a complete spin state. Coupled edges: 0–1, 0–2, 1–3, 2–3.
━ Circuit reference · ┄ Exact Hamiltonian reference
Current circuit magnetization 1.000. Neither curve is hardware data. Time is in model units, not seconds on a device.
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Exact circuit probabilities
Theoretical probabilities for the selected step and basis.
Exact numerical values
| Outcome | Probability |
|---|---|
| 0000 | 1.0000000 |
| 0001 | 0.0000000 |
| 0010 | 0.0000000 |
| 0011 | 0.0000000 |
| 0100 | 0.0000000 |
| 0101 | 0.0000000 |
| 0110 | 0.0000000 |
| 0111 | 0.0000000 |
| 1000 | 0.0000000 |
| 1001 | 0.0000000 |
| 1010 | 0.0000000 |
| 1011 | 0.0000000 |
| 1100 | 0.0000000 |
| 1101 | 0.0000000 |
| 1110 | 0.0000000 |
| 1111 | 0.0000000 |
Fixed 0–100% scale · left digit is qubit 0
Z-basis measurement probabilities. A histogram is not the complete quantum state.
What this shows
t = 0.00
A field quench drives a four-spin open square with H = −J Σ ZiZj − h Σ Xi (ℏ = 1). Ideal and Ideal Shots use the same first-order RX/RZZ product-formula circuit. The exact-Hamiltonian curve is a separate reference, so their gap is approximation error, not hardware noise.
Where this model stops
Four spins can recur and cannot establish Pasqal’s 256-spin late-time relaxation, a thermodynamic phase transition, or quantum advantage. This gate model is not Pasqal’s neutral-atom processor.
Real QPU eligibility and source paper
RX/RZZ export needs backend-target transpilation. No hardware counts have been collected for this circuit; no performance comparison with Pasqal is supported.
There is no hardware execution behind these plots. Exporting a circuit does not validate a device or create a new hardware result.
Mendes-Santos et al. · Exploring the Relaxation Landscape of a 2D Quantum Magnet ↗Preprint · August 7, 2026; Pasqal research announcement October 27, 2026