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We study the optimization problem for remote one- and two-qubit statecreation via a homogeneous spin-1/2 communication line using the local unitarytransformations of the multi-qubit sender and extended receiver. We show thatthe maximal length of a communication line used for the needed state creation(the critical length) increases with an increase in the dimensionality of thesender and extended receiver. The model with the sender and extended receiverconsisting of up to 10 nodes is used for the one-qubit state creation and weconsider two particular states: the almost pure state and the maximally mixedone. Regarding the two-qubit state creation, we numerically study thedependence of the critical length on a particular triad of independenteigenvalues to be created, the model with four-qubit sender without an extendedreceiver is used for this purpose.

Optimization of remote one- and two-qubit state creation via multi-qubit unitary transformations at sender and receiver sides