Week 177: Superconducting & Trapped Ion Systems

Learning Objectives

• •**Derive** the transmon Hamiltonian from circuit quantization principles
• •**Calculate** transmon anharmonicity and explain the $$E_J/E_C$$ ratio design
• •**Explain** dispersive readout and calculate the dispersive shift $$\chi$$
• •**Describe** flux qubit operation including the double-well potential
• •**Derive** the Mølmer-Sørensen gate Hamiltonian and explain its robustness
• •**Compare** QCCD and linear chain architectures for trapped ions
• •**Analyze** trade-offs between superconducting and trapped ion platforms