  Quantum information storage (QIS) is a physical process to write quantum
states into a quantum memory (QM). We observe that in some general cases the
quantum state can be retrieved up to a unitary transformation depicted by the
non-Abelian Berry's geometric phase factor (holonomy). The QIS of photon with
this geometric character can be implemented with the symmetric collective
excitations of a $\Lambda$-atom ensemble, which is adiabatically controlled by
a classical light with a small detuning $\delta$. The cyclic change of the
controlled Rabi frequency $\Omega(t)$ with period $T=\frac{2n\pi}{\delta}$
accumulates additional geometric phases in different components of the final
photon state. Then, in a purely geometric way the stored state can be decoded
from the final state.
