Quantum state transfer through a thermal spin channel

The dynamics of quantum state transfer through a thermal spin chain with Heisenberg interaction is discussed by numerically calculating the maximal fidelity in a finite transfer time for the chains with several numbers of sites. We find that the maximal fidelity does not decrease monotonously with the increase in the temperature, but depends on the maximal allowed transfer time. Finally, we compare the results of thermal channel with the transfer through ground state channel.