In scientific research concerning quantum networks, it is often assumed that the parties in the network can classically communicate with each other. This is a non problematic and natural assumption when the entire network is contained, e.g., in one laboratory; however, when we start to consider quantum networks spanning hundreds of kilometers, then classical communication could introduce substantial delays to the network. As the latency of a network is one of its most important characteristics, it is interesting to consider quantum networks in which parties cannot communicate with each other and ask what limitations this assumption imposes. In this work we show that quantum states from a well-known class of graph states cannot be generated in a quantum network in which parties are connected via bipartite sources of quantum states, but they cannot communicate with each other classically.
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