Parent Hamiltonian Reconstruction via Inverse Quantum Annealing

Finding a local Hamiltonian H^ that has a given many-body wave function |ψ. © as its ground state, i.e., a parent Hamiltonian, is a challenge of fundamental importance in quantum technologies. Here we introduce a numerical method, inspired by quantum annealing, that efficiently performs this task through an artificial inverse dynamics: a slow deformation of the states |ψ(λ(t)).