  An information-geometrical interpretation of AdS3/CFT2 correspondence is
given. In particular, we consider an inverse problem in which the classical
spacetime metric is given in advance and then we find what is the proper
quantum information that is well stored into the spacetime. We see that the
Fisher metric plays a central role on this problem. Actually, if we start with
the two-dimensional hyperbolic space, a constant-time surface in AdS3, the
resulting singular value spectrum of the quantum state shows power law for the
correlation length with conformal dimension proportional to the curvature
radius in the gravity side. Furthermore, the entanglement entropy data embedded
into the hyperbolic space agree well with the Ryu-Takayanagi formula. These
results show that the relevance of the AdS/CFT correspondence can be
represented by the information-gemetrical approach based on the Fisher metric.
