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Ballistic quantum-information transfer through spin chains is based on theidea of making the spin dynamics ruled by collective excitations with lineardispersion relation. Unlike perfect state transfer schemes, a ballistictransmission requires only a minimal engineering of the interactions; in fact,for most practical purposes, the optimization of the couplings to the ends ofthe chain is sufficient to obtain an almost perfect transmission. In this workwe review different ballistic quantum-state transfer protocols based on thedynamics of quasi-free spin chains, and further generalize them both at zeroand finite temperature. In particular, besides presenting novel analyticalresults for XX, XY, and Ising spin models, it is shown how, via a completecontrol on the first and last two qubits of the chain, destructive thermaleffects can be cancelled, leading to a high-quality state transmissionirrespective of the temperature.

Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states