  The quantum teleportation plays an important role in quantum information
process, in this sense, the quantum entanglement properties involving an
infinite chain structure is quite remarkable because real materials could be
well represented by an infinite chain. We study the teleportation of an
entangled state through a couple of quantum channels, composed by Heisenberg
dimers in an infinite Ising-Heisenberg diamond chain, the couple of chains are
considered sufciently far away from each other to be ignored the any
interaction between them . To teleporting a couple of qubits through the
quantum channel, we need to find the average density operator for Heisenberg
spin dimers, which will be used as quantum channels. Assuming the input state
as a pure state, we can apply the concept of fidelity as a useful measurement
of teleportation performance of a quantum channel. Using the standard
teleportation protocol, we have derived an analytical expression for the output
concurrence, fidelity, and average fidelity. We study in detail the effects of
coupling parameters, external magnetic field and temperature dependence of
quantum teleportation. Finally, we explore the relations between entanglement
of the quantum channel, the output entanglement and the average fidelity of the
system. Through a kind of phase diagram as a function of Ising-Heisenberg
diamond chain model parameters, we illustrate where the quantum teleportation
will succeed and a region where the quantum teleportation could fail.
