Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution. (6th September 2017)

• Record Type: Journal Article
• Authors: Liu, P; Jin, G R
• Is Part Of: Journal of physics. Volume 50:Number 40(2017)
• Publication Date: 2017-09-06
• Subjects: quantum metrology -- Fisher information -- interferometer; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa86c0
• Languages: English
• ISSNs: 1751-8113

Abstract

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 n ̄ 2 for given input number of photons 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 ̃ 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.