Inverse design of dissipative quantum steady-states with implicit differentiation

TL;DR

This paper introduces a novel implicit differentiation method to efficiently compute the gradient of steady-states in open quantum systems, enabling inverse design without exhaustive grid searches.

Contribution

It presents a new approach using implicit differentiation to calculate steady-state gradients in open quantum systems, improving inverse design processes.

Findings

Successfully applied to a spin-boson model using Redfield theory

Demonstrated efficient gradient computation for inverse design

Outperforms traditional grid-search methods

Abstract

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.