Quantum enhanced metrology and the geometry of quantum channels

Details Quantum enhanced metrology and the geometry of quantum channels Quantum enhanced metrology and the geometry of quantum channels

2012-01-18

arxiv.org/abs/1201.3940v1

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

Lower bounds on the estimation uncertainty are derived for quantum metrological schemes in the presence of decoherence showing that Heisenberg scaling is generically lost even for infinitesimal level of noise. Unlike in other methods, calculation of the bounds is straightforward and requires only a simple analysis of the mathematical structure of the decoherence process. In some models, e.g. atomic clocks frequency calibration with dephasing, calculation may be performed using an intuitive geometric picture. All that is necessary is a "distance" of a point representing the decoherence process from the boundary of the set of all quantum channels.

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