  Quantum sensors outperform their classical counterparts in their estimation
precision, given the same amount of resources. So far, quantum-enhanced
sensitivity has been achieved by exploiting the superposition principle. This
enhancement has been obtained for particular forms of entangled states,
adaptive measurement basis change, critical many-body systems, and steady-state
of periodically driven systems. Here, we introduce a different approach to
obtain quantum-enhanced sensitivity in a many-body probe through utilizing the
nature of quantum measurement and its subsequent wave-function collapse without
demanding prior entanglement. Our protocol consists of a sequence of local
measurements, without re-initialization, performed regularly during the
evolution of a many-body probe. As the number of sequences increases, the
sensing precision is enhanced beyond the standard limit, reaching the
Heisenberg bound asymptotically. The benefits of the protocol are multi-fold as
it uses a product initial state and avoids complex initialization (e.g. prior
entangled states or critical ground states) and allows for remote quantum
sensing.
