  Entanglement, one of the clearest manifestations of non-classical physics,
holds significant promise for technological applications such as more secure
communications and faster computations. In this paper we explore the use of
non-reciprocal transport in a network of continuous-variable systems to route
entanglement in one direction through the network. We develop the theory and
discuss a potential realization of controllable flow of entanglement in quantum
systems; our method employs only Gaussian interactions and engineered
dissipation to break the symmetry. We also explore the conditions under which
thermal fluctuations limit the distance over which the entanglement propagates
and observe a counter-intuitive behavior between this distance, the strength of
the entanglement source, and the strength of the hopping through the network.
