  We develop the protocol for structural restoring of multi-quantum coherence
matrices of the multi-qubit quantum state transferred from the sender to the
receiver along a spin-1/2 chain. We also propose a protocol for constructing
such 0-order coherence matrix that can be perfectly transferred in this
process. The restoring protocol is based on the specially constructed unitary
transformation of the extended receiver.{This transformation for a given length
parameters of the chain is universally optimal in the sense that ones
constructed it can be applied to optimally restore any higher-order coherence
matrices.
