  We consider the remote creation of a mixed state in a one-qubit receiver
connected to two two-qubit senders via different channels. {Channels are
assumed to be chains of spins (qubits) with nearest-neighbor interactions, no
external fields are being applied.} The problem of sharing the creatable region
of the receiver's state-space between two senders is considered for a
communication line with the receiver located asymmetrically with respect to
these senders (asymmetric communication line). An example of a quantum register
realizing simple functions is constructed on the basis of a symmetric
communication line. In that setup, the initial states of the two senders serve
as input and control signals, respectively, while the state of the receiver at
a proper time instant is considered as the output signal.
