For single-parameter phase estimation, the success-probability-weighted quantum Fisher information of any non-Gaussian state heralded from Gaussian resources through passive linear optics is no larger than the quantum Fisher information of the original Gaussian input.
Demonstration of a controlled-phase gate for continuous-variable one- way quantum computation.Physical review letters, 107(25):250501, 2011
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Fundamental limits of parameter estimation with heralded optical non-Gaussian states generated from Gaussian resources
For single-parameter phase estimation, the success-probability-weighted quantum Fisher information of any non-Gaussian state heralded from Gaussian resources through passive linear optics is no larger than the quantum Fisher information of the original Gaussian input.