Conceptual analogue · small-system teaching model
Can an invisible phase change the result?
Follow two abstract paths as they split, acquire a relative phase, and recombine.
- 1Predict
- 2Ideal
- 3Ideal Shots
- 4Hardware
- 5Interpret
- 6Lab note
Prepare
- |0⟩Prepare
- HSplit
- P(φ)Phase
- HMix
Begin with one definite outcome. The next H gate creates two amplitudes.
Arrows occupy complex amplitude space, not physical space. This panel always shows ideal theory; finite-shot evidence stays in the probability chart.
Connect the picture to the equation
H|0⟩ = (|0⟩ + |1⟩)/√2
H creates two equal amplitudes.
Checking voice availability…
Exact circuit probabilities
Theoretical probabilities for the selected step and basis.
Exact numerical values
| Outcome | Probability |
|---|---|
| 0 | 1.0000000 |
| 1 | 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
Prepare |0⟩
A relative phase can be hidden in a Z-basis histogram, yet change later interference. After H–P(φ)–H, P(0) = cos²(φ/2). A shared global phase has no effect on these probabilities.
Where this model stops
This gate circuit is an analogue of phase interference. It does not simulate magnetic flux, dynamical gauge fields, Gauss’s law or the oscillators in the research experiment.
Real QPU eligibility and source paper
Gate-circuit export uses H and P. No authentic QPU sample is attached to this model; hardware execution and target transpilation have not been validated.
There is no hardware execution behind these plots. Exporting a circuit does not validate a device or create a new hardware result.
Saner et al. · Aharonov–Bohm interference in a Z₂ lattice gauge theory ↗Nature Physics · September 25, 2026; preprint July 25, 2025