For a comoving detector in de Sitter space, non-Markovian corrections reduce the quantum Fisher information for Hubble parameter estimation, and general alpha-vacua suppress its late-time asymptotic value.
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Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
For a comoving detector in de Sitter space, non-Markovian corrections reduce the quantum Fisher information for Hubble parameter estimation, and general alpha-vacua suppress its late-time asymptotic value.