Ensemble based quantum metrology
Marcus Schaffry, Erik M. Gauger, John J. L. Morton, Joseph Fitzsimons,, Simon C. Benjamin, and Brendon W. Lovett

TL;DR
This paper explores how ensemble-based quantum metrology can surpass classical limits by leveraging initial system polarization and specific quantum strategies, especially under dephasing conditions.
Contribution
It identifies the importance of initial polarization as a resource and proposes a quantum measurement strategy that can outperform the standard quantum limit under realistic decoherence.
Findings
Performance depends on decoherence type
Quantum strategy can beat the standard quantum limit
Initial polarization is a crucial resource
Abstract
The field of quantum metrology promises measurement devices that are fundamentally superior to conventional technologies. Specifically, when quantum entanglement is harnessed the precision achieved is supposed to scale more favourably with the resources employed, such as system size and the time required. Here we consider measurement of magnetic field strength using an ensemble of spins, and we identify a third essential resource: the initial system polarisation, i.e. the low entropy of the original state. We find that performance depends crucially on the form of decoherence present; for a plausible dephasing model, we describe a quantum strategy which can indeed beat the standard quantum limit.
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