  We propose a class of metrological resource states whose quantum Fisher
information scales optimally in both system size and noise rate. In these
states, qubits are partitioned into sensing groups with relatively large
correlations within a group but small correlations between groups. The states
are obtainable from local Hamiltonian evolution, and we design a metrologically
optimal and efficient measurement protocol utilizing time-reversed dynamics and
single-qubit local measurements. Using quantum domino dynamics, we also present
a protocol free of the time-reversal step that has an estimation error roughly
twice the best possible value.
