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Ultimate precision: Gaussian parameter estimation in flat and curved spacetime

Ultimate precision: Gaussian parameter estimation in flat and curved spacetime
Ultimate precision: Gaussian parameter estimation in flat and curved spacetime
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.
Quantum Physics
2331-8422
Šafránek, Dominik
8372b54c-3665-42eb-b751-821519e7dfd2
Kohlrus, Jan
2ada319b-0cfa-4792-8c8d-294cffd645ac
Bruschi, David Edward
6b839b6e-2a84-428a-bb60-0a76397228df
Lee, Antony R.
653a0d5b-ba7c-41c9-871b-76d2048974e8
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794
Šafránek, Dominik
8372b54c-3665-42eb-b751-821519e7dfd2
Kohlrus, Jan
2ada319b-0cfa-4792-8c8d-294cffd645ac
Bruschi, David Edward
6b839b6e-2a84-428a-bb60-0a76397228df
Lee, Antony R.
653a0d5b-ba7c-41c9-871b-76d2048974e8
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794

Šafránek, Dominik, Kohlrus, Jan, Bruschi, David Edward, Lee, Antony R. and Fuentes, Ivette (2015) Ultimate precision: Gaussian parameter estimation in flat and curved spacetime. arXiv. (doi:10.48550/arXiv.1511.03905).

Record type: Article

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.

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/pdf - Author's Original
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Published date: 1 November 2015
Keywords: Quantum Physics

Identifiers

Local EPrints ID: 480324
URI: http://eprints.soton.ac.uk/id/eprint/480324
ISSN: 2331-8422
PURE UUID: 0ff999e7-fe39-4b27-81ac-8666f79410ac

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Date deposited: 01 Aug 2023 17:21
Last modified: 17 Mar 2024 03:54

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Contributors

Author: Dominik Šafránek
Author: Jan Kohlrus
Author: David Edward Bruschi
Author: Antony R. Lee
Author: Ivette Fuentes

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