  Inverse design of a property that depends on the steady-state of an open
quantum system is commonly done by grid-search type of methods. In this paper
we present a new methodology that allows us to compute the gradient of the
steady-state of an open quantum system with respect to any parameter of the
Hamiltonian using the implicit differentiation theorem. As an example, we
present a simulation of a spin-boson model where the steady-state solution is
obtained using Redfield theory.
