A quantum internet holds promise for accomplishing distributed quantum sensing and large-scale quantum computer networks, as well as quantum communication among arbitrary clients all over the globe. The main building block is efficient distribution of entanglement over a quantum network. This could be achieved by aggregating quantum repeater protocols. However, the existing protocol requires point-to-point entanglement generation not only to suppress the error, depending on the size of the whole network, but also to be run more than necessary. Here we present an aggregated quantum repeater protocol which works with minimum cost. We also introduce the concept of concatenation of it to achieve arbitrary long-distance communication with fixed error over the network, independently of its size.
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