Ziv-Zakai error bounds for quantum parameter estimation.

@article{Tsang2012ZivZakaiEB,
  title={Ziv-Zakai error bounds for quantum parameter estimation.},
  author={Mankei Tsang},
  journal={Physical review letters},
  year={2012},
  volume={108 23},
  pages={230401}
}
I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cramér-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a Heisenberg error limit that scales with the average energy and a limit similar to the quantum Cramér-Rao bound that scales with the energy variance. These results are further illustrated by applying the bound to a few examples of optical phase estimation, which show that a quantum Ziv-Zakai… CONTINUE READING

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