  We present a new method of deriving the geometry of entanglement wedges in
holography directly from conformal field theories (CFTs). We analyze an
information metric called the Bures metric of reduced density matrices for
locally excited states. This measures distinguishability of states with
different points excited. For a subsystem given by an interval, we precisely
reproduce the expected entanglement wedge for two dimensional holographic CFTs
from the Bures metric, which turns out to be proportional to the AdS metric on
a time slice. On the other hand, for free scalar CFTs, we do not find any sharp
structures like entanglement wedges. When a subsystem consists of disconnected
two intervals we manage to reproduce the expected entanglement wedge from
holographic CFTs with correct phase transitions, up to a very small error, from
a quantity alternative to the Bures metric.
