  Advancements in computing based on qubit networks, and in particular the
flux-qubit processor architecture developed by D-Wave System's Inc., have
enabled the physical simulation of quantum-dot cellular automata (QCA) networks
beyond the limit of classical methods. However, the embedding of QCA networks
onto the available processor architecture is a key challenge in preparing such
simulations. In this work, two approaches to embedding QCA circuits are
characterized: a dense placement algorithm that uses a routing method based on
negotiated congestion; and a heuristic method implemented in D-Wave's Solver
API package. A set of benchmark QCA networks is used to characterise the
algorithms and a stochastic circuit generator is employed to investigate the
performance for different processor sizes and active flux-qubit yields.
