# Single-qubit operations on the Transmon qubit

Before we can perform any kind of quantum algorithm with a qubit, we need some level of control over its state. For example, we might want to flip its state. All local operations of this kind are done using single-qubit gates. In this video, Ph.D. student Brian Tarasinski will discuss the method for applying a single-qubit gate on the transmon qubit. We will see that this method heavily relies on Rabi oscillations.

To perform efficient quantum computations, we want these single-qubit gates to be as quick and reliable as possible. After explaining the Rabi oscillations, Brian will explain why performing these gates quickly is a problem. Luckily there are some solutions that might solve this problem. Take a look at the video!

## Prerequisite knowledge

- Bloch sphere
- Quantum energy levels

## Further thinking

Do you understand why these second excited state frequencies pop up? Hint: Take a look at the Fourier transform of a rectangular pulse!

## Further reading

The introduction of this theoretical paper by N. Kosugi explains Rabi oscillations some more. Although they quickly dive into big Hamiltonians and complicated mathematical functions, try to stick with it!

Two lecture videos by prof. Wolfgang Ketterle about the theory behind Rabi oscillations and some experiments.