  The evolution of quantum coherences comes with a set of conservation laws
provided that the Hamiltonian governing this evolution conserves the
spin-excitation number. At that, coherences do not intertwist during the
evolution. Using the transmission line and the receiver in the initial ground
state we can transfer the coherences to the receiver without interaction
between them, { although the matrix elements contributing to each particular
coherence intertwist in the receiver's state. } Therefore we propose a tool
based on the unitary transformation at the receiver side to { untwist these
elements and thus} restore (at least partially) the structure of the sender's
initial density matrix. A communication line with two-qubit sender and receiver
is considered as an example of implementation of this technique.
