  The dynamical behaviour of the quantum state of different quantum spin
chains, with designed site dependent interaction strengths, is analyzed when
the initial state belongs to the one excitation subspace. It is shown that the
inhomogeneous chains are able to transfer excitations with near perfect
fidelity. This behaviour is found for two very different spin chain
Hamiltonians. The first one is the ferromagnetic Heisenberg Hamiltonian with
nearest neighbor interactions, the second one describes a chain with long range
anisotropic interactions which are ferromagnetic in the $z$ direction and
antiferromagnetic in the $(x,y)$ plane. It is shown that both designed chains
have in common a partially ordered spectrum and well localized eigenvectors.
This physical trait unifies the description of both kind of systems.
