  We report the experimental demonstration of two quantum networking protocols,
namely quantum 1->3 telecloning and open-destination teleportation, implemented
using a four-qubit register whose state is encoded in a high-quality two-photon
hyperentangled Dicke state. The state resource is characterized using criteria
based on multipartite entanglement witnesses. We explore the characteristic
entanglement-sharing structure of a Dicke state by implementing high-fidelity
projections of the four-qubit resource onto lower-dimensional states. Our work
demonstrates for the first time the usefulness of Dicke states for quantum
information processing.
