So let's asume I have a product state/quantum register as a result of a tensor product of two qubits.
Lets take a "hard" product state matrix like:$$\frac{1}{\sqrt{2}}\begin{bmatrix}\frac12 + \frac{i}{4} \\\frac12 + \sqrt{\frac{7}{16}}i \\ \frac12 + \frac{i}{4} \\ \frac12 + \sqrt{\frac{7}{16}}i \end{bmatrix}$$
How would I decompose it back to the tensor product of two qubits?
