  The evolution of the universe is determined by its quantum state. The wave
function of the universe obeys the constraints of general relativity and in
particular the Wheeler-DeWitt equation (WDWE). For non-zero \Lambda, we show
that solutions of the WDWE at large volume have two domains in which geometries
and fields are asymptotically real. In one the histories are Euclidean
asymptotically anti-de Sitter, in the other they are Lorentzian asymptotically
classical de Sitter. Further, the universal complex semiclassical asymptotic
structure of solutions of the WDWE implies that the leading order in \hbar
quantum probabilities for classical, asymptotically de Sitter histories can be
obtained from the action of asymptotically anti-de Sitter configurations. This
leads to a promising, universal connection between quantum cosmology and
holography.
