Wigner-Yanase skew information and uncertainty relations.

@article{Luo2003WignerYanaseSI,
  title={Wigner-Yanase skew information and uncertainty relations.},
  author={Shunlong Luo},
  journal={Physical review letters},
  year={2003},
  volume={91 18},
  pages={180403}
}
The Wigner-Araki-Yanase theorem puts a limitation on the measurement of observables in the presence of a conserved quantity, and the notion of Wigner-Yanase skew information quantifies the amount of information on the values of observables not commuting with the conserved quantity. We demonstrate that the statistical idea underlying the skew information is the Fisher information in the theory of statistical estimation. A quantum Cramér-Rao inequality and a new uncertainty relation in terms of… CONTINUE READING

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