For Toeplitz families of quantum states with a flat prior, the optimal measurement is a covariant quantum-whitening projection, and it can beat time-domain quadrature for coherent-state frequency estimation below the classical SNR threshold.
quantum Fourier transform
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Bayesian frequency estimation at the fundamental quantum limit
For Toeplitz families of quantum states with a flat prior, the optimal measurement is a covariant quantum-whitening projection, and it can beat time-domain quadrature for coherent-state frequency estimation below the classical SNR threshold.