  It has recently been discovered that the nonlocality of an entangled qubit
pair can be recycled for several Bell experiments. Here, we go beyond standard
Bell scenarios and investigate the recycling of nonlocal resources in a quantum
network. We realise a photonic quantum 3-branch star network in which three
sources of entangled pairs independently connect three outer parties with a
central node. After measuring, each outer party respectively relays their
system to an independent secondary measuring party. We experimentally
demonstrate that the outer parties can perform unsharp measurements that are
strong enough to violate a network Bell inequality with the central party, but
weak enough to maintain sufficient entanglement in the network to allow the
three secondary parties to do the same. Moreover, the violations are strong
enough to exclude any model based on standard projective measurements on the
EPR pairs emitted in the network. Our experiment brings together the research
program of recycling quantum resources with that of Bell nonlocality in
networks.
