Topology identification of autonomous quantum dynamical networks.

Topology identification comprises reconstructing the interaction Hamiltonian of a quantum network by properly processing measurements of its density operator within a fixed time interval. It finds application in several quantum technology contexts, ranging from quantum communication to quantum computing or sensing. In this paper, we provide analytical conditions for the solvability of the topology identification problem of autonomous quantum dynamical networks. The analytical results are then converted in an algorithm for quantum network reconstruction that is able to efficiently determine the topology of large-scale networks and is easily implementable on standard computer facilities. The obtained algorithm is tested on numerical examples based on the quantum walks formalism.