$|{\Psi }_A\rangle =a_0|0\rangle +a_1|1\rangle$	$\hspace{1em}{a}_i\in {\mathbb{C}}^2$
$|{\Psi }_B\rangle =b_0|0\rangle +b_1|1\rangle$	$\hspace{1em}{b}_i\in {\mathbb{C}}^2$
$|{\Psi }_C\rangle =c_0|0\rangle +c_1|1\rangle$	$\hspace{1em}{c}_i\in {\mathbb{C}}^2$
$|{\Psi }^{*}\rangle =d_0|0\rangle +d_1|1\rangle$	$\hspace{1em}{d}_i\in {\mathbb{C}}^2$.