Double-port measurements for robust quantum optical metrology

Abstract

It has been proposed and demonstrated that path-entangled Fock states (PEFSs) are robust against photon loss over NOON states [S. D. Huver \emph{et al.}, Phys. Rev. A \textbf{78}, 063828 (2008)]. However, the demonstration was based on a measurement scheme which was yet to be implemented in experiments. In this work, we quantitatively illustrate the advantage of PEFSs over NOON states in the presence of photon losses by analytically calculating the quantum Fisher information. To realize such an advantage in practice, we then investigate the achievable sensitivities by employing three types of feasible measurements: parity, photon-number-resolving, and homodyne measurements. We here apply a double-port measurement strategy where the photons at each output port of the interferometer are simultaneously detected with the aforementioned types of measurements.

10 pages, 4 figures

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Cited by in corpus (6)

• Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
• Optimal phase sensitivity of an unbalanced Mach-Zehnder interferometer
• Quantum multiparameter estimation with multi-mode photon catalysis entangled squeezed state
• Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
• Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
• Measurement compatibility in multiparameter quantum interferometry