  Although superconducting systems provide a promising platform for quantum
computing, their networking poses a challenge as they cannot be interfaced to
light---the medium used to send quantum signals through channels at room
temperature. We show that mechanical oscillators can mediated such coupling and
light can be used to measure the joint state of two distant qubits. The
measurement provides information on the total spin of the two qubits such that
entangled qubit states can be postselected. Entanglement generation is possible
without ground-state cooling of the mechanical oscillators for systems with
optomechanical cooperativity moderately larger than unity; in addition, our
setup tolerates a substantial transmission loss. The approach is scalable to
generation of multipartite entanglement and represents a crucial step towards
quantum networks with superconducting circuits.
