The elusive Heisenberg limit in quantum enhanced metrology
arXiv:1201.3940 · doi:10.1038/ncomms2067
Abstract
We provide efficient and intuitive tools for deriving bounds on achievable precision in quantum enhanced metrology based on the geometry of quantum channels and semi-definite programming. We show that when decoherence is taken into account, the maximal possible quantum enhancement amounts generically to a constant factor rather than quadratic improvement. We apply these tools to derive bounds for models of decoherence relevant for metrological applications including: dephasing,depolarization, spontaneous emission and photon loss.
10 pages, 4 figures, presentation imporved, implementation of the semi-definite program finding the precision bounds added
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