Generation of maximally correlated states of (d ⊗ d)-dimensional systems in the absence of entanglement

We study the generation of maximally correlated states of -dimensional quantum systems in the absence of quantum entanglement. We found that this class of states can be generated under the assistance of a collective dissipative dynamics. Maximally correlated bipartite states without entanglement, requires maximal entanglement to a third party. We study a bipartite system evolving into a maximally correlated state, without entanglement, when interacting with a finite environment.