Multipartite Entanglement for Continuous Variables: A Quantum Teleportation Network

We show that one single-mode squeezed state distributed among $N$ parties using linear optics suffices to produce a truly $N$-partite entangled state for any nonzero squeezing and arbitrarily many parties. From this $N$-partite entangled state, via quadrature measurements of $N-2\mathrm{}$ modes, bipartite entanglement between any two of the $N$ parties can be “distilled,” which enables quantum teleportation with an experimentally determinable fidelity better than could be achieved in any classical scheme.