Quantum estimation of the Schwarzschild space-time parameters of the Earth
Abstract
We propose a quantum experiment to measure with high precision the Schwarzschild space-time parameters of the Earth. The scheme can also be applied to measure distances by taking into account the curvature of the Earth's space-time. As a wave-packet of (entangled) light is sent from the Earth to a satellite it is red-shifted and deformed due to the curvature of space-time. Measurements after the propagation enable the estimation of the space-time parameters. We compare our results with the state of the art, which involves classical measurement methods, and discuss what developments are required in space-based quantum experiments to improve on the current measurement of the Schwarzschild radius of the Earth.
Keywords
Cite
@article{arxiv.1409.0234,
title = {Quantum estimation of the Schwarzschild space-time parameters of the Earth},
author = {David Edward Bruschi and Animesh Datta and Rupert Ursin and Timothy C. Ralph and Ivette Fuentes},
journal= {arXiv preprint arXiv:1409.0234},
year = {2014}
}
Comments
11 pages, no figures. Ivette Fuentes previously published as Ivette Fuentes-Guridi and Ivette Fuentes-Schuller