Semiconductor Flux Qubit Tunelling Splitting Calculator
Extract measured flux-qubit anticrossing minimum/tied detunings without assuming a complete unsampled Hamiltonian, tunnel coupling convention independently verified.
Description
An observed qubit anticrossing has a sampled transition-splitting minimum.
An observed qubit anticrossing has a sampled transition-splitting minimum.1
Tied minimum detunings preserve ambiguity instead of identifying a unique unsampled tunnel coupling.
When to use Semiconductor Flux Qubit Tunelling Splitting Calculator
Use this tool when you need to locate a sampled minimum and all tied observed coordinates. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
How to use Semiconductor Flux Qubit Tunelling Splitting Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter observedFluxDetunings, observedTransitionSplittingHz, following the field table and calculation rules below, then run the tool.
- Read observedMinimumTunnelSplittingHz, observedMinimumSplittingDetunings. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedFluxDetunings | Observed flux detunings | list of number | Required |
| observedTransitionSplittingHz | Observed transition splitting hz | list of number | Required |
Require positive splitting frequencies. Apply the sampled-minimum algorithm below to aligned, strictly increasing detunings, with one sample allowed. Report every detuning tied at the minimum.
The extrema helper requires nonempty aligned response and strictly increasing coordinate lists, accepting a single sample. Find the requested sampled minimum and retain every coordinate tied by exact numeric equality. It does not fit a curve between samples or infer an unsampled global minimum.
minimum=min(splittings); detunings={x_i:splitting_i=minimum} Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedMinimumTunnelSplittingHz | Observed minimum tunnel splitting hz | number |
| observedMinimumSplittingDetunings | Observed minimum splitting detunings | list of number |
{
"input": {
"observedFluxDetunings": [
-1,
0,
1
],
"observedTransitionSplittingHz": [
3,
2,
3
]
},
"output": {
"observedMinimumTunnelSplittingHz": 2,
"observedMinimumSplittingDetunings": [
0
]
}
}Limitations and assumptions
Branch identity and sampling completeness must be established independently. Ties are retained; a sampled minimum does not establish the true continuous minimum.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.
Alternative or Complementary methods
For a related task, use Semiconductor Majorana Zero Mode Energy Calculator: Subgap eigenvalues near zero are spectral candidates requiring independent physical interpretation. Their proximity alone cannot distinguish Majorana modes from other bound states. For a complementary step, use Semiconductor Donor Qubit Hyperfine Interaction Calculator: Assigned donor hyperfine transition spacing depends on the independently established magnetic-quantum-number difference. Keeping the signed measured spacing preserves assignment inconsistencies.
References
Similar or alternative tools
- Semiconductor Majorana Zero Mode Energy Calculator
Subgap eigenvalues near zero are spectral candidates requiring independent physical interpretation. Their proximity alone cannot distinguish Majorana modes from other bound states.
- Semiconductor Donor Qubit Hyperfine Interaction Calculator
Assigned donor hyperfine transition spacing depends on the independently established magnetic-quantum-number difference. Keeping the signed measured spacing preserves assignment inconsistencies.