Black hole information and Reeh-Schlieder theorem

The Reeh-Schlieder theorem, with the time-slice axiom of quantum field theory, may be used to recover the information which falls into a black hole. Analyticity of quantum fields in states with finite energy plays the crucial role. In AdS spacetime, our argument based on the Reeh-Schlieder theorem is consistent with the argument that there is no information loss because of the AdS/CFT correspondence.