4.6 Article

Topology identification of autonomous quantum dynamical networks

Journal

PHYSICAL REVIEW A
Volume 106, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.106.052426

Keywords

-

Funding

  1. University of Florence
  2. Fondazione CR Firenze through the QUANTUM-AI project
  3. European Union [828946]
  4. CODYCES

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This paper provides analytical conditions for the solvability of the topology identification problem for autonomous quantum dynamical networks and converts them into an algorithm for quantum network reconstruction that is easily implementable on standard computer facilities. The obtained algorithm is tested for Hamiltonian reconstruction on numerical examples based on the quantum walks formalism.
Topology identification comprises reconstructing the Hamiltonian, and thus the corresponding interaction terms, 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 for autonomous quantum dynamical networks (i.e., as in our case, not explicitly depending on time via the use of an external drive). The solvability condition is then converted in an algorithm for quantum network reconstruction that is easily implementable on standard computer facilities. The obtained algorithm is tested for Hamiltonian reconstruction on numerical examples based on the quantum walks formalism.

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