Efficient Dicke state generation in a network of lossy channels

We analyze the generation of entanglement in a multipartite optical network. We generalize the twin-field strategy to the multipartie case and show that our protocol has advantageous rate-loss scalings of distributing W states and Dicke states over the star networks. We give precise theoretical formulas and quantitative performance analyses. Also analysis of the same protocol using Gaussian states as resources, which is a typical setup of many experimental tests, is provided.