Quantum optical metrology in the lossy $SU(2)$ and $SU(1,1)$ interferometers

Abstract

We study the phase sensitivity in the conventional $SU(2)$ and nonconventional $SU(1,1)$ interferometers with the coherent and squeezed vacuum input state via the quantum Cramer-Rao bound. We explicitly construct the detection scheme that gives the optimal phase sensitivity. For practical purposes, we show that in the presence of photon loss, both interferometers with proper homodyne detections, are nearly optimal. We also find that unlike the coherent state and squeezed vacuum state, the effects of the imperfect detector on the phase sensitivity cannot be asymptotically removed for a generic coherent-squeezed state by increasing the amplifier gain of the OPA.

arXiv comment6 pages, 8 figures, the errors due to the incorrected expression of a matrix are corrected, more references are added

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Cited by in corpus (7)

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• Practical resources and measurements for lossy optical quantum metrology
• Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
• Quantum limited measurement of space-time curvature with scaling beyond the conventional Heisenberg limit
• SU(1,1) interferometry with parity measurement
• Ancilla-assisted schemes are beneficial for Gaussian state phase estimation
• Gaussian phase sensitivity of boson-sampling-inspired strategies