  Quantum sensors have the potential to outperform their classical
counterparts. For classical sensing, the uncertainty of the estimation of the
target fields scales inversely with the square root of the measurement time T.
On the other hand, by using quantum resources, we can reduce this scaling of
the uncertainty with time to 1/T. However, as quantum states are susceptible to
dephasing, it has not been clear whether we can achieve sensitivities with a
scaling of 1/T for a measurement time longer than the coherence time. Here, we
propose a scheme that estimates the amplitude of globally applied fields with
the uncertainty of 1/T for an arbitrary time scale under the effect of
dephasing. We use one-way quantum computing based teleportation between qubits
to prevent any increase in the correlation between the quantum state and its
local environment from building up and have shown that such a teleportation
protocol can suppress the local dephasing while the information from the target
fields keeps growing. Our method has the potential to realize a quantum sensor
with a sensitivity far beyond that of any classical sensor.
