  The encoding of classical data in a physical support can be done up to some
level of accuracy due to errors and the imperfection of the writing process.
Moreover, some degradation of the storage data can happen over the time because
of physical or chemical instability of the system. Any read-out strategy should
take into account this natural degree of uncertainty and minimize its effect.
An example are optical digital memories, where the information is encoded in
two values of reflectance of a collection of cells. Quantum reading using
entanglement, has been shown to enhances the readout of an ideal optical
memory, where the two level are perfectly characterized. In this work, we will
analyse the case of imperfect construction of the memory and propose an
optimized quantum sensing protocol to maximize the readout accuracy in presence
of imprecise writing. The proposed strategy is feasible with current technology
and is relatively robust to detection and optical losses. Beside optical
memories, this work have implications for identification of pattern in
biological system, in spectrophotometry, and whenever the information can be
extracted from a transmission/reflection optical measurement.
