Geometric perspective on quantum parameter estimation

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Sidhu, Jasminder S. and Kok, Pieter (2020) Geometric perspective on quantum parameter estimation. AVS Quantum Science, 2 (1). 014701. ISSN 2639-0213 (https://doi.org/10.1116/1.5119961)

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Abstract

Quantum metrology holds the promise of an early practical application of quantum technologies, in which measurements of physical quantities can be made with much greater precision than what is achievable with classical technologies. In this Review, the authors collect some of the key theoretical results in quantum parameter estimation by presenting the theory for the quantum estimation of a single parameter, multiple parameters, and optical estimation using Gaussian states. The authors give an overview of results in areas of current research interest, such as Bayesian quantum estimation, noisy quantum metrology, and distributed quantum sensing. The authors address the question of how minimum measurement errors can be achieved using entanglement as well as more general quantum states. This review is presented from a geometric perspective. This has the advantage that it unifies a wide variety of estimation procedures and strategies, thus providing a more intuitive big picture of quantum parameter estimation.

ORCID iDs

Sidhu, Jasminder S. ORCID logoORCID: https://orcid.org/0000-0002-6167-8224 and Kok, Pieter;
  • Item type:Article
    ID code:73196
    Dates:
    Date
    Event
    11 February 2020
    Published
    11 February 2020
    Published Online
    31 January 2020
    Accepted
    Notes:This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in AVS Quantum Science, 2(1), and may be found at https://doi.org/10.1116/1.5119961
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:14 Jul 2020 12:12
    Last modified:18 Dec 2024 14:42
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/73196
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