  We focus on two types of coherent states, the coherent states of multi
graviton states and the coherent states of giant graviton states, in the
context of gauge/gravity correspondence. We conveniently use a phase shift
operator and its actions on the superpositions of these coherent states. We
find $N$-state Schrodinger cat states which approach the one-row Young tableau
states, with fidelity between them asymptotically reaches 1 at large $N$. The
quantum Fisher information of these states is proportional to the variance of
the excitation energy of the underlying states, and characterizes the
localizability of the states in the angular direction in the phase space. We
analyze the correlation and entanglement between gravitational degrees of
freedom using different regions of the phase space plane in bubbling AdS. The
correlation between two entangled rings in the phase space plane is related to
the area of the annulus between the two rings. We also analyze two types of
noisy coherent states, which can be viewed as interpolated states that
interpolate between a pure coherent state in the noiseless limit and a
maximally mixed state in the large noise limit.
