Transmon Qubit Calculator

Explore our Transmon Qubit Calculator, designed for superconducting qubits and quantum circuits. Easily compute parameters like charging energy, Josephson junction parameters, transition frequencies, and anharmonicity to streamline your quantum device design process. Perfect for researchers and engineers in quantum computing.

Transmon Qubit Calculator

Charging Energy from the Total Capacitance
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Josephson Junction Parameters
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Transmon Qubit Parameters
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Formulas Used

Formulas for the calculation of transmon qubit's parameters are given below. 
Charging Energy (Ec)   Ec = e2/2Ct  Ct: Total capacitance
e: Elementary charge
Josephson Energy (EJ E= Rq/ 2Rn
Rq​: Quantum resistance = 6.45 kΩ
Δ0: Energy Gap at T=0​
Josephson critical Current (Ic Ic​ = πΔ0​​ / 2eRn​ Rn: Junction's normal-state resistance
Josephson Inductance (LJ) LJ​ = Φ0 / 2πIc Φ0​: Magnetic flux quantum
Transition Frequency (fge) fge​ = ((√8Ec​EJ​​) − Ec)​​ / h h: Planck's constant
Transition Frequency (fef) fef​ = ((√8Ec​EJ​​) − 2Ec)​​ / h
Transition Frequency (fgf/2) fgf /2 = (fge + fef) / 2
Anharmonicity (α) α = Ec​​ / h

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