Optimal quantum estimation of loss in bosonic channels

Abstract

We address the estimation of the loss parameter of a bosonic channel probed by Gaussian signals. We derive the ultimate quantum bound on precision and show that no improvement may be obtained by having access to the environment degrees of freedom. We found that, for small losses, the variance of the optimal estimator is proportional to the loss parameter itself, a result that represents a qualitative improvement over the shot noise limit. An observable based on the symmetric logarithmic derivative is derived, which attains the ultimate bound and may be implemented using Gaussian operations and photon counting.

4 pages, 2 figures, replaced with published version

References in corpus (15)

• Generalized uncertainty relations: Theory, examples, and Lorentz invariance
• Statistical distinguishability between unitary operations
• Using entanglement improves precision of quantum measurements
• State estimation for large ensembles
• Experimental reconstruction of photon statistics without photon counting
• Optimal phase measurements with pure Gaussian states
• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Quantifying decoherence in continuous variable systems
• On the general problem of quantum phase estimation
• Information-disturbance tradeoff in quantum measurements
• Ancilla-Assisted Enhancement of Channel Estimation for Low-Noise Parameters
• Optimal estimation of squeezing
• Transmittivity measurements by means of squeezed vacuum light
• N-body-extended Channel Estimation for Low-Noise Parameters
• Optimal quantum estimation of the coupling between two bosonic modes

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