0&\alpha_0^0&0&\alpha_0^0\\ \alpha_0^0&\alpha_0^0&\alpha_0^0&\alpha_0&0 \end{array}\right) = \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array}\right\}