Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states

Details Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states

2008-07-24

arxiv.org/abs/0807.3958v2

Phys. Rev. A 79, 040305(R) (2009)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.79.040305

We address the estimation of the loss parameter of a bosonic channel probed by arbitrary signals. Unlike the optimal Gaussian probes, which can attain the ultimate bound on precision asymptotically either for very small or very large losses, we prove that Fock states at any fixed photon number saturate the bound unconditionally for any value of the loss. In the relevant regime of low-energy probes, we demonstrate that superpositions of the first low-lying Fock states yield an absolute improvement over any Gaussian probe. Such few-photon states can be recast quite generally as truncations of de-Gaussified photon-subtracted states.

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