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Quantum Measurements and Quantum Metrology

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Precision Limits in Quantum Metrology with Open Quantum Systems

J. F. Haase
  • Corresponding author
  • Institut für Theoretische Physik, Albert-Einstein-Allee, Universität Ulm, Ulm, Germany
  • Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee, Universität Ulm, Ulm, Germany
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ A. Smirne
  • Institut für Theoretische Physik, Albert- Einstein-Allee, Universität Ulm, Ulm, Germany
  • Center for Integrated Quantum Science and Technology (IQST), Albert- Einstein-Allee, Universität Ulm, Ulm, Germany
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ S. F. Huelga
  • Institut für Theoretische Physik, Albert- Einstein-Allee, Universität Ulm, Ulm, Germany
  • Center for Integrated Quantum Science and Technology (IQST), Albert- Einstein-Allee, Universität Ulm, Ulm, Germany
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ J. Kołodynski
  • ICFO-Institut de Ciènces Fotòniques, The Barcelona Institute of Science and Technology, Castelldefels ( Barcelona), Spain
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ R. Demkowicz-Dobrzanski
Published Online: 2018-10-05 | DOI: https://doi.org/10.1515/qmetro-2018-0002

Abstract

The laws of quantum mechanics allow to perform measurements whose precision supersedes results predicted by classical parameter estimation theory. That is, the precision bound imposed by the central limit theorem in the estimation of a broad class of parameters, like atomic frequencies in spectroscopy or external magnetic field in magnetometry, can be overcomewhen using quantum probes. Environmental noise, however, generally alters the ultimate precision that can be achieved in the estimation of an unknown parameter. This tutorial reviews recent theoretical work aimed at obtaining general precision bounds in the presence of an environment.We adopt a complementary approach,wherewe first analyze the problem within the general framework of describing the quantum systems in terms of quantum dynamical maps and then relate this abstract formalism to a microscopic description of the system’s dissipative time evolution.We will show that although some forms of noise do render quantum systems standard quantum limited, precision beyond classical bounds is still possible in the presence of different forms of local environmental fluctuations.

Keywords: frequency estimation; open quantum systems; precision limits

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About the article

Received: 2018-08-15

Accepted: 2018-09-06

Published Online: 2018-10-05

Published in Print: 2016-08-01


Citation Information: Quantum Measurements and Quantum Metrology, Volume 5, Issue 1, Pages 13–39, ISSN (Online) 2299-114X, DOI: https://doi.org/10.1515/qmetro-2018-0002.

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© by J. F. Haase et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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