Optimal quantum estimation of loss in bosonic channels

Details Optimal quantum estimation of loss in bosonic channels Optimal quantum estimation of loss in bosonic channels

2007-01-29

arxiv.org/abs/quant-ph/0701216v4

Phys. Rev. Lett. 98, 160401 (2007)

Physics

Quantum Physics

4 pages, 2 figures, replaced with published version

Scientific paper

10.1103/PhysRevLett.98.160401

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.

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