Determining the continuous family of quantum Fisher information from linear-response theory

@article{Shitara2016DeterminingTC,
  title={Determining the continuous family of quantum Fisher information from linear-response theory},
  author={Tomohiro Shitara and Masahito Ueda},
  journal={Physical Review A},
  year={2016},
  volume={94},
  pages={062316}
}
The quantum Fisher information represents the continuous family of metrics on the space of quantum states and places the fundamental limit on the accuracy of quantum state estimation. We show that the entire family of the quantum Fisher information can be determined from linear response theory through generalized covariances. We derive the generalized fluctuation-dissipation theorem that relates the linear response function to generalized covariances and hence allows us to determine the quantum… Expand

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