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The XX model with uniform couplings represents the most natural choice forquantum state transfer through spin chains. Given that it has long beenestablished that single-qubit states cannot be transferred with perfectfidelity in this model, the notion of pretty good state transfer has beenrecently introduced as a relaxation of the constraints on fidelity. In thispaper, we study the transfer of multi-qubit entangled and unentangled statesthrough unmodulated spin chains, and we prove that it is possible to havepretty good state transfer of any multi-particle state. This significantlygeneralizes the previous results on single-qubit state transfer, and opens wayto using uniformly coupled spin chains as quantum channels for the transfer ofarbitrary states of any dimension. Our results could be tested with currenttechnology.

Pretty good state transfer of entangled states through quantum spin chains