Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution

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 ${\bar{n}}^2$ 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.

one column, 15 pages, 3 figures

References in corpus (17)

• Quantum metrology from a quantum information science perspective
• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Optimal Quantum Phase Estimation
• Observation of squeezed light with 10dB quantum noise reduction
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Fisher information under decoherence in Bloch representation
• An avalanche-photodiode-based photon-number-resolving detector
• Quantum Metrological Limits via a Variational Approach
• Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
• High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
• Optimal Quantum-Enhanced Interferometry
• Optical interferometry in the presence of large phase diffusion
• Enhanced interferometry using squeezed thermal states and even or odd states
• Quantum-limited metrology in the presence of collisional dephasing
• Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Heisenberg-limited metrology with information recycling

Cited by in corpus (1)

• Data processing over single-port homodyne detection to realize super-resolution and super-sensitivity