Josephson Inductance and Transmon Qubits

This lecture covers the concept of Josephson inductance, a non-linear inductor whose value depends on the phase and current. It explains the Josephson junction, its energy, and the fabrication techniques for a Josephson tunnel junction. The lecture also discusses the Cooper pair box, its energy levels, and the Transmon qubit as a charge noise insensitive qubit. It delves into the dispersion and anharmonicity of the Transmon qubit, tuning it with magnetic flux, and its design and fabrication. Additionally, it explores the Transmon as an anharmonic oscillator and its behavior under fast driving. The lecture concludes with practical examples and applications of the concepts discussed.