01119nas a2200133 4500008003900000245004700039210004700086300001100133490000700144520073800151100001900889700002200908856005500930 2012 d00aGrowth of graph states in quantum networks0 aGrowth of graph states in quantum networks a0423040 v863 aWe propose a scheme to distribute graph states over quantum networks in the presence of noise in the channels and in the operations. The protocol can be implemented efficiently for large graph sates of arbitrary (complex) topology. We benchmark our scheme with two protocols where each connected component is prepared in a node belonging to the component and subsequently distributed via quantum repeaters to the remaining connected nodes. We show that the fidelity of the generated graphs can be written as the partition function of a classical Ising-type Hamiltonian. We give exact expressions of the fidelity of the linear cluster and results for its decay rate in random graphs with arbitrary (uncorrelated) degree distributions.1 aCuquet, MartÃ1 aCalsamiglia, John uhttp://link.aps.org/doi/10.1103/PhysRevA.86.042304