Semiconductor Transmon Anharmonicity Calculator
Audit actual spectroscopic f12−f01 anharmonicity retaining sign, not forward EC/h approximation or transmon frequency formula.
Description
Anharmonicity compares adjacent transition frequencies.
Anharmonicity compares adjacent transition frequencies.1
Subtracting measured f01 from f12 retains the sign and expresses the mismatch relative to f01.
When to use Semiconductor Transmon Anharmonicity Calculator
Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
How to use Semiconductor Transmon Anharmonicity Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedTransition01Hz, observedTransition12Hz, following the field table and rules below, then run the tool.
- Read signedTransmonAnharmonicityHz, signedRelativeAnharmonicity. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedTransition01Hz | Observed transition01 hz | number | Required |
| observedTransition12Hz | Observed transition12 hz | number | Required |
Use positive observed 0-to-1 and 1-to-2 frequencies in hertz. Return f12−f01 and that difference divided by f01. No charging-energy approximation is used.
α=f12−f01; relative=α/f01 Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| signedTransmonAnharmonicityHz | Signed transmon anharmonicity hz | number |
| signedRelativeAnharmonicity | Signed relative anharmonicity | number |
{
"input": {
"observedTransition01Hz": 5,
"observedTransition12Hz": 4.8
},
"output": {
"signedTransmonAnharmonicityHz": -0.20000000000000018,
"signedRelativeAnharmonicity": -0.040000000000000036
}
}Limitations and assumptions
Matched measurement branch, material state, calibration, and conventions must be independently established. Results do not certify device performance or operating conditions.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected.
Alternative or Complementary methods
For a related review, use Semiconductor Transmon Qubit Frequency Calculator: A transmon frequency approximation uses Josephson and charging energies in a regime where their ratio is large. The asymptotic expression estimates the 0-to-1 transition instead of diagonalizing the full Hamiltonian. For a complementary step, use Semiconductor Si Spin Qubit Decoherence T2 Calculator: An exponential spin-echo envelope gives an apparent T₂ when fitted in logarithmic response space. That fit is distinct from a Ramsey T₂* estimate or a stretched-exponential model.
References
Similar or alternative tools
- Semiconductor Transmon Qubit Frequency Calculator
A transmon frequency approximation uses Josephson and charging energies in a regime where their ratio is large. The asymptotic expression estimates the 0-to-1 transition instead of diagonalizing the full Hamiltonian.
- Semiconductor Si Spin Qubit Decoherence T2 Calculator
An exponential spin-echo envelope gives an apparent T₂ when fitted in logarithmic response space. That fit is distinct from a Ramsey T₂* estimate or a stretched-exponential model.