Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
arXiv:1801.00555 · doi:10.1088/1751-8121/aa86c0
Abstract
Photon counting measurement has been regarded as the optimal measurement scheme for phase estimation in the squeezed-state interferometry, since the classical Fisher information equals to the quantum Fisher information and scales as for given input number of photons . However, it requires photon-number-resolving detectors with a large enough resolution threshold. Here we show that a collection of -photon detection events for up to the resolution threshold can result in the ultimate estimation precision beyond the shot-noise limit. An analytical formula has been derived to obtain the best scaling of the Fisher information.
one column, 15 pages, 3 figures
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