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We investigate the fidelity of the quantum state transfer (QST) of two qubitsby means of an arbitrary spin-1/2 network, on a lattice of any dimensionality.Under the assumptions that the network Hamiltonian preserves the magnetizationand that a fully polarized initial state is taken for the lattice, we obtain ageneral formula for the average fidelity of the two qubits QST, linking it tothe one- and two-particle transfer amplitudes of the spin-excitations among thesites of the lattice. We then apply this formalism to a 1D spin chain withXX-Heisenberg type nearest-neighbour interactions adopting a protocol that is ageneralization of the single qubit one proposed in Ref. [Phys. Rev. A 87,062309 (2013)]. We find that a high-quality two qubit QST can be achievedprovided one can control the local fields at sites near the sender andreceiver. Under such conditions, we obtain an almost perfect transfer in a timethat scales either linearly or, depending on the spin number, quadraticallywith the length of the chain.

Transfer of arbitrary two qubit states via a spin chain