New Fock-state suppression laws, a partial-distinguishability extension of Gaussian Boson Sampling via overlap matrices, and a proof that measurement incompatibility survives even when probe incompatibility vanishes for phase-and-loss estimation.
Kramers-Kronig relations and precision limits in quantum phase estimation
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abstract
The ultimate precision in any measurement is dictated by the physical process implementing the observation. The methods of quantum metrology have now succeeded in establishing bounds on the achievable precision for phase measurements over noisy channels. In particular, they demonstrate how the Heisenberg scaling of the precision can not be attained in these conditions. Here we discuss how the ultimate bound in presence of loss has a physical motivation in the Kramers-Kronig relations and we show how they link the precision on the phase estimation to that on the loss parameter.
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2026 1verdicts
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From the Hong-Ou-Mandel Effect to Quantum Sensing: Interference of Nonclassical Light with Partial Distinguishability and Noise
New Fock-state suppression laws, a partial-distinguishability extension of Gaussian Boson Sampling via overlap matrices, and a proof that measurement incompatibility survives even when probe incompatibility vanishes for phase-and-loss estimation.