  As two valuable quantum resources, Einstein-Podolsky-Rosen entanglement and
steering play important roles in quantum-enhanced communication protocols.
Distributing such quantum resources among multiple remote users in a network is
a crucial precondition underlying various quantum tasks. We experimentally
demonstrate the deterministic distribution of two- and three-mode Gaussian
entanglement and steering by transmitting separable states in a network
consisting of a quantum server and multiple users. In our experiment, entangled
states are not prepared solely by the quantum server, but are created among
independent users during the distribution process. More specifically, the
quantum server prepares separable squeezed states and applies classical
displacements on them before spreading out, and users simply perform local
beam-splitter operations and homodyne measurements after they receive separable
states. We show that the distributed Gaussian entanglement and steerability are
robust against channel loss. Furthermore, one-way Gaussian steering is achieved
among users that is useful for further directional or highly asymmetric quantum
information processing.
