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A tight Cramér-Rao bound for joint parameter estimation with a pure two-mode squeezed probe (1702.02271v3)
Published 8 Feb 2017 in quant-ph
Abstract: We calculate the Holevo Cram\'er-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.