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Quantum Engineering Year 2: Advanced Quantum Science Month 33Day 898

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Year 2·Month 33·Week 1

Day 898: Transmon Qubit Design

Day 898 of 2,016~17 min read

Learning Objectives

•**Derive** the transmon Hamiltonian and its energy spectrum
•**Explain** how the $E_J/E_C$ ratio determines charge sensitivity
•**Calculate** qubit frequency and anharmonicity from circuit parameters
•**Design** a transmon with specified frequency and anharmonicity
•**Analyze** the tradeoff between charge noise immunity and anharmonicity
•**Compare** transmon to charge qubit and Cooper pair box regimes

Today's Schedule (7 hours)

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On this page

1 From Cooper Pair Box to Transmon 2 Charge Basis Representation 3 Energy Spectrum 4 Charge Dispersion and Noise Sensitivity 5 Design Tradeoff 6 Frequency and Parameter Relations 7 Junction and Capacitor Fabrication 8 Coupling to Resonators 9 Tunable Transmons 10 Fixed-Frequency vs Tunable Transmons Quantum Computing Applications High-Fidelity Qubit Operations Scalability Considerations Current State of the Art 2025

Day 897Day 898 of 2,016Day 899