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Quantum Measurements and Quantum Metrology

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Coherently enhanced measurements in classical mechanics

Daniel Braun
  • Laboratoire de Physique Théorique, IRSAMC, UMR 5152 du CNRS, and Université Paul Sabatier, Toulouse, France and Institut für Theoretische Physik, Universität Tübingen, Germany
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Sandu Popescu
  • H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2014-08-06 | DOI: https://doi.org/10.2478/qmetro-2014-0003


In all quantitative sciences, it is common practice to increase the signal-to-noise ratio of noisy measurements by measuring identically prepared systems N times and averaging the measurement results. This leads to a scaling of the sensitivity as 1/√N, known in quantum measurement theory as the “standard quantum limit” (SQL). It is known that if one puts the N systems into an entangled state, a scaling as 1/N can be achieved, the socalled “Heisenberg limit” (HL), but decoherence problems have so far prevented implementation of such protocols for large N. Here we show that a method of coherent averaging inspired by a recent entanglement-free quantum enhanced measurement protocol is capable of achieving a sensitivity that scales as 1/N in a purely classical setup. This may substantially improve the measurement of very weak interactions in the classical realm, and, in particular, open a novel route to measuring the gravitational constant with enhanced precision.


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About the article

Received: 2014-04-16

Revised: 2014-06-13

Accepted: 2014-07-03

Published Online: 2014-08-06

Citation Information: Quantum Measurements and Quantum Metrology, Volume 2, Issue 1, ISSN (Online) 2299-114X, DOI: https://doi.org/10.2478/qmetro-2014-0003.

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©2014 Daniel Braun and Sandu Popescu. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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