  In this short note, we examine geodesic distance in Fisher information space
in which the metric is defined by the entanglement entropy in CFT_(1+1). It is
obvious in this case that the geodesic distance at a constant time is a
function of the entropy data embedded into the information space. In a special
case, the geodesic equation can be solved analytically, and we find that the
distance agrees well with the Ryu-Takayanagi formula. Then, we can understand
how the distance looks at the embeded quantum information. The result suggests
that the Fisher metric is an efficient tool for constructing the holographic
spacetime.
