Ultimate precision: Gaussian parameter estimation in flat and curved spacetime
Abstract
Relativistic quantum metrology provides an optimal strategy for the estimation of parameters encoded in quantum fields in flat and curved spacetime. These parameters usually correspond to physical quantities of interest such as proper times, accelerations, gravitational field strengths, among other spacetime parameters. The precise estimation of these parameters can lead to novel applications in gravimeters, spacetime probes and gravitational wave detectors. Previous work in this direction only considered pure probe states. In realistic situations, however, probe states are mixed. In this paper, we provide a framework for the computation of optimal precision bounds for mixed single- and two-mode Gaussian states within quantum field theory. This enables the estimation of spacetime parameters in case the field states are initially at finite temperature.
Cite
@article{arxiv.1511.03905,
title = {Ultimate precision: Gaussian parameter estimation in flat and curved spacetime},
author = {Dominik Šafránek and Jan Kohlrus and David Edward Bruschi and Antony R. Lee and Ivette Fuentes},
journal= {arXiv preprint arXiv:1511.03905},
year = {2017}
}
Comments
9+3 pages, 2 figures. v2: Added example and two figures: application in the estimation of proper acceleration. Conclusion reworked