The elusive Heisenberg limit in quantum enhanced metrology
Quantum Physics
2012-09-19 v2
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.
Keywords
Cite
@article{arxiv.1201.3940,
title = {The elusive Heisenberg limit in quantum enhanced metrology},
author = {Rafal Demkowicz-Dobrzanski and Jan Kolodynski and Madalin Guta},
journal= {arXiv preprint arXiv:1201.3940},
year = {2012}
}
Comments
10 pages, 4 figures, presentation imporved, implementation of the semi-definite program finding the precision bounds added