Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions Articles uri icon

publication date

  • July 2023

start page

  • 1

end page

  • 37


  • 32, 325201


  • 56

International Standard Serial Number (ISSN)

  • 1751-8113

Electronic International Standard Serial Number (EISSN)

  • 1751-8121


  • We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with quasi-& delta; boundary conditions. This is a particular class of self-adjoint boundary conditions compatible with the graph structure. We prove that global approximate controllability can be achieved using two physically distinct protocols: either using the boundary conditions as controls, or using time-dependent magnetic fields. Both cases have time-dependent domains for the Hamiltonians.


  • Mathematics


  • higher dimensional quantum graphs; quantum control in infinite dimensions; quantum graphs; self-adjoint boundary conditions; time dependent boundary conditions; time dependent magnetic laplacians