Heisenberg scaling in Gaussian quantum metrology

Autor(en)

Nicolai Friis, Michalis Skotiniotis, Ivette Fuentes, Wolfgang Duer

Abstrakt

We address the issue of precisely estimating small parameters encoded in a general linear transformation of the modes of a bosonic quantum field. Such Bogoliubov transformations frequently appear in the context of quantum optics. We provide a set of instructions for computing the quantum Fisher information for arbitrary pure initial states. We show that the maximally achievable precision of estimation is inversely proportional to the squared average particle number and that such Heisenberg scaling requires nonclassical but not necessarily entangled states. Our method further allows us to quantify losses in precision arising from being able to monitor only finitely many modes, for which we identify a lower bound.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Leopold-Franzens-Universität Innsbruck, Österreichische Akademie der Wissenschaften (ÖAW)

Journal

Physical Review A

Band

92

Anzahl der Seiten

8

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.92.022106

Publikationsdatum

08-2015

Peer-reviewed

Ja

ÖFOS 2012

103024 Quantenfeldtheorie, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Atomic and Molecular Physics, and Optics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/561b2200-9584-4842-bd46-0228b63adbde