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.
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