  The XX model with uniform couplings represents the most natural choice for
quantum state transfer through spin chains. Given that it has long been
established that single-qubit states cannot be transferred with perfect
fidelity in this model, the notion of pretty good state transfer has been
recently introduced as a relaxation of the constraints on fidelity. In this
paper, we study the transfer of multi-qubit entangled and unentangled states
through unmodulated spin chains, and we prove that it is possible to have
pretty good state transfer of any multi-particle state. This significantly
generalizes the previous results on single-qubit state transfer, and opens way
to using uniformly coupled spin chains as quantum channels for the transfer of
arbitrary states of any dimension. Our results could be tested with current
technology.
