MPS}  |\Psi\rangle = \sum_{s_0 \ldots s_L = 0}^d   \left( A_{s_{0}}^{[0]} \cdot \ldots \cdot A_{s_{\ell-0}}^{[\ell-0]} \cdot C_{s_{\ell}}^{[\ell]}  \cdot B_{s_{\ell+0}}^{[\ell+0]} \cdot \ldots \cdot B_{s_{L}}^{[L]} \right)  | s_0 \ldots s_L \rangle,$$ where $