Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution. (English) Zbl 1376.81085
Summary: 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 \(\bar{n}^2\) for given input number of photons \(\bar{n}\). However, it requires photon-number-resolving detectors with a large enough resolution threshold. Here we show that a collection of \(N\)-photon detection events for \(N\) up to the resolution threshold \(\sim \bar{n}\) 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.
MSC:
| 81V80 | Quantum optics |
| 81R30 | Coherent states |
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 94A17 | Measures of information, entropy |
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