Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge

Details Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge

2011-02-03

arxiv.org/abs/1102.0786v2

Phys. Rev. A 83, 061802(R) (2011)

Physics

Quantum Physics

4 pages, 2 figures (final version)

Scientific paper

The optimal phase estimation strategy is derived when partial a priori knowledge on the estimated phase is available. The structure of the optimal measurements, estimators and the optimal probe states is analyzed. The results fill the gap in the literature on the subject which until now dealt almost exclusively with two extreme cases: almost perfect knowledge (local approach based on Fisher information) and no a priori knowledge (global approach based on covariant measurements). Special attention is paid to a natural a priori probability distribution arising from a diffusion process.

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