We demonstrate a robust scheme for quantum information storage based on bound states in a
two-dimensional coupled-cavity array. When a target cavity is tuned to resonance with the array, a
bound state in the continuum (BIC) emerges, coexisting with two conventional bound states outside
the band. The resulting dynamics reflects a delicate interplay between these bound states, which
can be fully captured through exact analytical solutions. In the weak-coupling regime, the BIC
dominates, enabling perfect and persistent information storage. At stronger coupling, all bound
states contribute, leading to oscillatory behavior and reduced storage fidelity. These results, valid
at both zero and finite reservoir temperatures and further supported by a single-particle framework,
reveal distinctive non-Markovian features in continuous-variable systems and highlight the potential
of photonic lattices for scalable all-optical decoherence-free quantum memory platforms.