Abstract
We investigate the divisibility properties of the tensor products Λ⁽¹⁾_t⊗Λ⁽²⁾_t of open quantum dynamics Λ^(1,2)_t with time-dependent generators. These dynamical maps emerge from a compound open system S₁+S₂ that interacts with its own environment in such a way that memory effects remain when the environment is traced away. This study is motivated by the following intriguing effect: one can have Backflow of Information (BFI) from the environment to S₁+S₂ without the same phenomenon occurring for either S₁ and S₂. We shall refer to this effect as the Superactivation of BFI (SBFI).