Init with complex magnitudes of each qubit

Suppose that one needs to have an initial state

$$\vert\psi_{ini}\rangle=\bigotimes_{i=1}^n(\alpha_i\vert_i\rangle+\beta_i\vert 1_i\rangle)$$ (1)

( $\alpha_i,\beta_i\in\mathbf{C}$, $\vert\alpha_i\vert^2+\vert\beta_i\vert^2=1$). This can be done by the command

init ($\alpha_1$)($\beta_1$) ($\alpha_2$)($\beta_2$) ... ($\alpha_n$)($\beta_n$);

where each $\alpha_i$ or $\beta_i$ is written in the style of ``a+bi'' or ``r ej $\theta$'', e.g.,

init (i)(0) (0)(1ej0.25pi) (0.7071)(0.7071);

set the initial state to

$$\begin{pmatrix}i\\ 0\end{pmatrix}\otimes \begin{pmatrix}0\\ e^{i 0.25\pi}\end{pmatrix}\otimes \begin{pmatrix}0.7071\\ 0.7071\end{pmatrix}.$$ (2)

Note that ``pi'' (this means $\pi$) or ``deg'' (this means degree) may be used only in the argument $\theta$ of an ascii string in the style of ``r ej $\theta$''.