In the last chapter, we studied the dynamics of the charge qubit at the sweet spot. We used the Hamiltonian from the two-basis-state approximation, which is fairly accurate for a charge qubit at the sweet spot, and demonstrated that by changing the amplitude and phase of the AC driving voltage, we can perform rotation about \(\hat {x}\) and \(\hat {y}\) on the Bloch sphere. By using detuning (i.e., different driving frequency than the qubit frequency), we can also perform rotation about \(\hat {z}\) on the Bloch sphere. These are the results of working on the rotating frame. But charge qubit is not a promising superconducting qubit due to its sensitivity to charge noise. A transmon qubit, which has the same setup as a charge qubit but with its Josephson energy \(E_J\) much larger than the charging energy \(E_{C}\) , is commonly used for its immunity to charge noise. In this chapter, based on the theory we have developed so far, we will study the implementation of one-qubit gates for a transmon. It turns out that it has similar results as the charge qubit. Finally, we will discuss the implementation of an entanglement gate, the iSWAP gate.