The authors claim that sequences of 2N+1 hyperbolic secant pi-pulses with alternating phases saturate the quantum Cramér-Rao bound for atomic resonance frequency estimation at every detuning.
Quantum sensing: Beyond the classical limits of precision
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abstract
Quantum sensors allow the estimation of parameters with precision higher than that obtained with classical strategies. Devices based on quantum physics have allowed the precise estimation of the gravitational field, the detailed imaging of the brain, the detection of gravitational-wave sources more than 400 million light years away, and an ever-increasing precision in the measurement of time. Quantum metrology, which is the conceptual framework that encompasses all these devices, is reviewed here, emphasizing recent results regarding noisy systems.
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Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses
The authors claim that sequences of 2N+1 hyperbolic secant pi-pulses with alternating phases saturate the quantum Cramér-Rao bound for atomic resonance frequency estimation at every detuning.