Inverse design of dissipative quantum steady-states with implicit differentiation

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.
Comment: 6 pages, 2 figures, accepted for publication in Third Workshop on Machine Learning and the Physical Sciences (NeurIPS 2020), Vancouver, Canada