A quantum internet aims at harnessing networked quantum technologies, namely by distributing bipartite entanglement between distant nodes. However, multipartite entanglement between the nodes may empower the quantum internet for additional or better applications for communications, sensing, and computation. In this work, we present an algorithm for generating multipartite entanglement between different nodes of a quantum network with noisy quantum repeaters and imperfect quantum memories, where the links are entangled pairs. Our algorithm is optimal for GHZ states with 3 qubits, maximising simultaneously the final state fidelity and the rate of entanglement distribution. Furthermore, we determine the conditions yielding this simultaneous optimality for GHZ states with a higher number of qubits, and for other types of multipartite entanglement. Our algorithm is general also in the sense that it can optimise simultaneously arbitrary parameters. In this talk I'll also go through some extensions of this work, in particular for the case where the parameters are described by a continuous function, correspondent to a trade-off model between fidelity and rate.

Luis Bugalho is a Portuguese physicist currently doing research as a PhD student between CeFEMA in Lisbon and LIP6 in Paris. In the past years he has studied some aspects of distributing entanglement over quantum networks. His current area of research is related with quantum sensor networks, which harness the power of distributed quantum sensing.