**Input:** A two-qubit system in the basis state $\ket{00} = \begin{bmatrix} 1 \\ 0 \\ 0 \\ 0 \end{bmatrix}$.
**Goal:** Transform the system into the state $\frac{1}{2}\big(\ket{00} + e^{i\pi/4}\ket{01} + e^{i\pi/2}\ket{10} + e^{3i\pi/4}\ket{11}\big) = \frac{1}{2}\begin{bmatrix} 1 \\ e^{i\pi/4} \\ e^{i\pi/2} \\ e^{3i\pi/4} \end{bmatrix}$.
<details>
<summary><b>Need a hint?</b></summary>
Represent the target state as a tensor product $\frac{1}{\sqrt2}\big(\ket{0} + e^{i\pi/2}\ket{1}\big) \otimes \frac{1}{\sqrt2}\big(\ket{0} + e^{i\pi/4}\ket{1}\big) = \frac{1}{\sqrt2} \begin{bmatrix} 1 \\ e^{i\pi/2} \end{bmatrix} \otimes \frac{1}{\sqrt2}\begin{bmatrix} 1 \\ e^{i\pi/4} \end{bmatrix}$.
</details>microsoft/qdk
Publicmirrored fromhttps://github.com/microsoft/qdkAvailable
katas/content/multi_qubit_systems/prepare_with_complex/index.md
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