Optimal estimation of squeezing

Physics – Quantum Physics

Scientific paper

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4 pages, 2 eps figures

Scientific paper

10.1103/PhysRevA.73.062103

We present the optimal estimation of an unknown squeezing transformation of the radiation field. The optimal estimation is unbiased and is obtained by properly considering the degeneracy of the squeezing operator. For coherent input states, the r.m.s. of the estimation scales as $(2\sqrt {\bar n})^{-1}$ versus the average photon number $\bar n$, while it can be enhanced to $(2\bar n)^{-1}$ by using displaced squeezed states.

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