**Input:** A qubit in an arbitrary state $\ket{\psi} = \alpha\ket{0} + \beta\ket{1}$.

**Goal:** Use several phase shift gates to apply the transformation represented by the following matrix to the given qubit:

$$\begin{bmatrix} 1 & 0 \\ 0 & e^{3i\pi/4} \end{bmatrix}$$
