A semidefinite program over quadratic phase-space observables computes the Holevo Cramér-Rao bound for Gaussian states with parameters encoded in both the first moments and the covariance matrix.
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Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cram\'er-Rao bounds
A semidefinite program over quadratic phase-space observables computes the Holevo Cramér-Rao bound for Gaussian states with parameters encoded in both the first moments and the covariance matrix.