  We consider quantum state transfer in a fully connected spin network, in
which the results indicate that it is impossible to achieve high fidelity by
free dynamics. However, the addition of certain kinds of noise can be helpful
for this purpose. In fact, we introduce a model of Gaussian white noise
affecting the spin-spin couplings (edges), except those linked to the input and
output node, and prove that it enhances the fidelity of state transfer. The
observed noise benefit is scale free as it applies to a quantum network of any
size. The amount of the fidelity enhancement, depending on the noise strength
as well as on the number of edges to which it is applied, can be so high as to
take the fidelity close to one.
