On quantum-classical equivalence for linear systems control problems and its application to quantum entanglement assignment

In this paper we consider general linear quantum systems with operator-valued variables. It is shown that a specific but fairly wide class of linear quantum control problems have exactly the same solutions to the corresponding classical one obtained simply by replacing the operator variables by the scalar variables. Based on this result, an application of the so-called covariance assignment control to the quantum system is given, which is a suitable approach for controlling quantum entanglement.