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Year 2·Month 33·Week 1

Day 897: Circuit QED Fundamentals

Day 897 of 2,016~17 min read

Learning Objectives

•**Quantize** a classical LC circuit using canonical quantization
•**Derive** the Hamiltonian of a transmission line resonator
•**Explain** how Josephson junctions introduce nonlinearity essential for qubits
•**Apply** the Jaynes-Cummings model to describe qubit-resonator coupling
•**Calculate** vacuum Rabi splitting and strong coupling conditions
•**Simulate** coupled qubit-resonator dynamics numerically

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