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Quantum networks lead to novel notions of locality and correlations which arenot well understood. An important problem concerns the question which statescan be experimentally prepared with a given network structure and which not. Byexploiting the inflation technique and symmetry analysis, we prove that allmulti-qubit graph states arising from a connected graph cannot originate fromany bipartite network. Moreover, the fidelity of a multi-qubit graph state andany network state cannot exceed $9/10$. Similar results can also be establishedfor a large class of multi-qudit graph states. More specifically, the fidelityof any prime-dimensional graph state and states prepared in a bipartite networkcannot exceed $0.95495$.

Quantum networks cannot generate graph states with high fidelity