A tight Cramér-Rao bound for joint parameter estimation with a pure two-mode squeezed probe

Abstract

We calculate the Holevo Cramér-Rao bound for estimation of the displacement experienced by one mode of an two-mode squeezed vacuum state with squeezing r and find that it is equal to 4exp(-2r). This equals the sum of the mean squared error obtained from a dual homodyne measurement, indicating that the bound is tight and that the dual homodyne measurement is optimal.

18 pages, 1 figure

References in corpus (3)

• Optimal estimation of joint parameters in phase space
• Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
• Asymptotic performance of optimal state estimation in quantum two level system

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