Quantum theory of an accelerating universe

We review some of the well-known features of quantum cosmology, such as the factor ordering problem, the wave function and the density matrix, for a dark energy dominated universe, where analytical solutions can be obtained. For the particular case of the phantom universe, we suggest a quantum system in which the usual notion of locality (non-locality) of quantum information theory have to be extended. In that case, we deal also with a quantum description where the existence of a non-chronal region around the big rip singularity is explicitly accounted for.