Phase estimation without a priori phase knowledge in the presence of loss

@article{Koodyski2010PhaseEW,
  title={Phase estimation without a priori phase knowledge in the presence of loss},
  author={Jan Kołodyński and Rafał Demkowicz-Dobrzański},
  journal={Physical Review A},
  year={2010},
  volume={82}
}
We find the optimal scheme for quantum phase estimation in the presence of loss when no a priori knowledge on the estimated phase is available. We prove analytically an explicit lower bound on estimation uncertainty, which shows that, as a function of the number of probes, quantum precision enhancement amounts at most to a constant factor improvement over classical strategies. 

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