Fast high-fidelity multiqubit state transfer with long-range interactions

We describe an efficient protocol to perform quantum state transfer using Hamiltonian dynamics with long-range interactions. The time to transfer $n$ qubits a sufficiently large distance is proportional to $\sqrt{n}$. Even without error correction, the fidelity of this multiqubit state transfer process remains finite for arbitrarily-well-separated qubits in the presence of uncorrelated random errors in coupling constants.