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The number of quantum gates executed for directly preparing copies and using teleportation for graph state distribution, as well as for distributing and integrating graph states after segmentation, is calculated. The results show that the number of quantum gates used by the segmentation method is significantly lower than that of direct distribution.
For example, as the size of the requested graph state increases, the number of quantum gates executed also rises, but the segmentation method requires fewer gates, reducing losses and improving the fidelity of the graph states.
The maximum single- node qubit consumption is recorded in two scenarios: with and without segmentation. The results indicate that the segmentation method can control the qubit resource consumption at individual nodes, reducing the probability of congestion in practical quantum communication networks.
For example, by controlling the size of the subgraph states, the qubit resource consumption at individual nodes can be kept under control, even as the size of the requested graph state gradually increases, ensuring smooth operation of the network.
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