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Designing Optimal Linear Detectors: A Bottom-Up Approach

Joe Bentley1,*, Hendra Nurdin2, Yanbei Chen3, Xiang Li3, and Haixing Miao1

  • 1Institute for Gravitational Wave Astronomy, School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom
  • 2School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney 2052, Australia
  • 3Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA

  • *Corresponding author: joe.bentley@uni-hamburg.de
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Phys. Rev. Applied 19, 034009 – Published 2 March, 2023Erratum Phys. Rev. Applied 21, 039901 (2024)

DOI: https://doi.org/10.1103/PhysRevApplied.19.034009

Abstract

This paper develops a systematic approach to realizing linear detectors with an optimized sensitivity, allowing for the detection of extremely weak signals. First, general constraints are derived on a specific class of input-output transfer functions of a linear detector. Then a physical realization of transfer functions in that class is found using the quantum network synthesis technique, which allows for the inference of the physical setup directly from the input-output transfer function. By exploring a minimal realization which has the minimum number of internal modes, it is shown that the optimal such detectors are internal squeezing schemes. Then, investigating nonminimal realizations, which is motivated by parity-time symmetric systems, a quantum nondemolition measurement is systematically recovered.

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Erratum

Erratum: Designing optimal linear detectors: a bottom-up approach [Phys. Rev. Applied 19, 034009 (2023)]

Joe Bentley, Hendra Nurdin, Yanbei Chen, Xiang Li, and Haixing Miao
Phys. Rev. Applied 21, 039901 (2024)

Article Text

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Outline

Information

Phys. Rev. Applied 19, 034009– Published 2 March, 2023
  • Received 18 October 2021
  • Revised 2 February 2022
  • Accepted 2 February 2023
Article part of CHORUS
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