Estimation and initialization of quantum network via continuous measurement on single node

For reliable and consistent quantum information processing carried out on a quantum network, the network structure must be fully known and a desired initial state has to be prepared on it. In this paper, we consider a spin network with only a single node accessible and provide continuous-measurement-based methods to fulfill the above two requirements. More specifically, the measurement results continuously obtained are used to update the estimate of the network structure, which converges to the true structure with high probability; for the latter problem, we further employ an adaptive measurement scheme to deterministically drive the state to a desired target state for network initialization.