Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise 1

We analyze the bilinear optimal control problem of quantum mechanical systems with final observation governed by a stochastic nonlinear Schrödinger equation perturbed by a linear multiplicative Wiener process. The existence of an open loop optimal control and first order Lagrange optimality conditions are derived, via Skorohod’s representation theorem… CONTINUE READING