Ultimate limits to quantum metrology and the meaning of the Heisenberg limit

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Title Ultimate limits to quantum metrology and the meaning of the Heisenberg limit
Author Zwierz, Marcin; ́rez-Delgado, Carlos A. Pe; Kok, Pieter
Journal Name Physical Review A
Year Published 2012
Place of publication United States
Publisher American Physical Society
Abstract For the last 20 years, the question of what are the fundamental capabilities of quantum precision measurements has sparked a lively debate throughout the scientific community. Typically, the ultimate limits in quantum metrology are associated with the notion of the Heisenberg limit expressed in terms of the physical resources used in the measurement procedure. Over the years, a variety of different physical resources were introduced, leading to a confusion about the meaning of the Heisenberg limit. Here, we review the mainstream definitions of the relevant resources and introduce the universal resource count, that is, the expectation value of the generator (above its ground state) of translations in the parameter we wish to estimate, that applies to all measurement strategies. This leads to the ultimate formulation of the Heisenberg limit for quantum metrology. We prove that this limit holds for the generators of translations with an upper-bounded spectrum.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1103/PhysRevA.85.042112
Copyright Statement Copyright 2012 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 85
Issue Number 4
Page from 042112-1
Page to 042112-8
ISSN 1050-2947
Date Accessioned 2012-05-28
Date Available 2013-06-03T00:33:51Z
Language en_US
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication
URI http://hdl.handle.net/10072/46991
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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