Coherent control of linear quantum systems: A differential evolution approach

In this paper, we propose a new method to construct an optimal coherent quantum controller, which is required to be physically realizable. This method is based on an evolutionary optimization method, namely the Differential Evolution approach. The aim is to provide a straightforward algorithm to deal with both nonlinear and nonconvex constraints arising in the quantum controller design. The solution to our problem involves the solutions of a complex algebraic Riccati equation and a Lyapunov equation. The efficacy of the proposed method is demonstrated through a case study on an entanglement control problem for an ideal quantum network comprising two cascaded optical parametric amplifiers.