Repeating the steps 1 to 3, one can construct the whole decomposition of state D. The last Γ Γ 's are a special case, like the first ones, expressing the right-hand Schmidt vectors at the ( N − − 1 ) t h bond in terms of the local basis at the N t h lattice place. As shown in, it is straightforward to obtain the Schmidt decomposition at k t h bond, i.e. [ 1.. k ] : [ k + 1.. N ] , from D.