  We demonstrate that memory in an $N$-qubit system subjected to decoherence,
is a potential resource for the slow-down of the entanglement decay. We show
that this effect can be used to retain the sub shot-noise sensitivity of the
parameter estimation in quantum interferometry. We calculate quantum Fisher
information, which sets the ultimate bound for the precision of the estimation.
We also derive the sensitivity of such a noisy interferometer, when the phase
is either estimated from the measurements of the population imbalance or from
the one-body density.
