  Noisy unsharp measurements incorporated in quantum information protocols may
hinder performance, reducing the quantum advantage. However, we show that,
unlike projective measurements which completely destroy quantum correlations
between nodes in quantum networks, sequential applications of noisy
measurements can mitigate the adverse impact of noise in the measurement device
on quantum information processing tasks. We demonstrate this in the case of
concentrating entanglement on chosen nodes in quantum networks via noisy
measurements performed by assisting qubits. In the case of networks with a
cluster of three or higher number of qubits, we exhibit that sequentially
performing optimal unsharp measurements on the assisting qubits yields
localizable entanglement between two nodes akin to that obtained by optimal
projective measurements on the same assisting qubits. Furthermore, we find that
the proposed approach using consecutive noisy measurements can potentially be
used to prepare desired states that are resource for specific quantum schemes.
We also argue that assisting qubits have greater control over the qubits on
which entanglement is concentrated via unsharp measurements, in contrast to
sharp measurement-based protocols, which may have implications for secure
quantum communication.
