  We study the optimization problem for remote one- and two-qubit state
creation via a homogeneous spin-1/2 communication line using the local unitary
transformations of the multi-qubit sender and extended receiver. We show that
the maximal length of a communication line used for the needed state creation
(the critical length) increases with an increase in the dimensionality of the
sender and extended receiver. The model with the sender and extended receiver
consisting of up to 10 nodes is used for the one-qubit state creation and we
consider two particular states: the almost pure state and the maximally mixed
one. Regarding the two-qubit state creation, we numerically study the
dependence of the critical length on a particular triad of independent
eigenvalues to be created, the model with four-qubit sender without an extended
receiver is used for this purpose.
