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Quantum sensors have the potential to outperform their classicalcounterparts. For classical sensing, the uncertainty of the estimation of thetarget 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 ofthe uncertainty with time to 1/T. However, as quantum states are susceptible todephasing, it has not been clear whether we can achieve sensitivities with ascaling of 1/T for a measurement time longer than the coherence time. Here, wepropose a scheme that estimates the amplitude of globally applied fields withthe uncertainty of 1/T for an arbitrary time scale under the effect ofdephasing. We use one-way quantum computing based teleportation between qubitsto prevent any increase in the correlation between the quantum state and itslocal environment from building up and have shown that such a teleportationprotocol can suppress the local dephasing while the information from the targetfields keeps growing. Our method has the potential to realize a quantum sensorwith a sensitivity far beyond that of any classical sensor.

Quantum metrology beyond the classical limit under the effect of dephasing