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Cited by 1,211Quantum optics and atomic interactionsStrong Light-Matter InteractionsQuantum Mechanics and Applications

Methods in Theoretical Quantum Optics

Barnett, Stephen M., Radmore, Paul M.·2002
DOI 10.1093/acprof:oso/9780198563617.001.0001
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Abstract

Abstract This book provides a firm grounding in those techniques needed to derive analytic solutions to relevant model problems. The book begins with a brief review of the mathematical foundations of quantum theory, especially those relevant to the description of atoms and optical fields and their coherent interactions. The following chapters treat the operators and states required, the rules for manipulating these, and the techniques commonly employed for calculating their statistical properties. A chapter is devoted to the important topic of dissipative processes and to the effects that these have on quantum optical systems. The final chapter discusses dressed states, that is, the eigenstates of interacting systems, including those that are dissipative. Fourteen short appendices summarize the more important topics in mathematics required in the book or present the lengthier calculations not included in the chapters. A selective bibliography is given at the end of the book.

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Crossref · 10.1093/acprof:oso/9780198563617.001.0001

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2 of 2 references verified0 citation errors · 0 not checkable

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Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Any Gaussian boson sampling (GBS) configuration can be encoded in a CV quantum neural network by turning off non-Gaussian gates and measuring outputs using photon detectors.

    “Any GBS configuration can be encoded in a CV quantum neural network by (i) turning off the non-Gaussian gates and (ii) measuring the outputs using photon detectors.”

    From Continuous-variable quantum neural networks (2019) · cites this paper as [106]

  • A simple expression for an eigenstate of the x quadrature with eigenvalue x can be found in Appendix 4 of Ref. [126].

    “A simple expression for an eigenstate of the x quadrature with eigenvalue x can be found in Appendix 4 of Ref. [126]”

    From Continuous-variable quantum neural networks (2019) · cites this paper as [126]

  • Both GBS and CV-IQP circuits have been shown to be intractable to simulate classically.

    “Both GBS [106,110] and CV-IQP circuits [109,111] have been shown to be intractable to simulate classically.”

    From Continuous-variable quantum neural networks (2019) · cites this paper as [106]

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Authors
Barnett, S. M., & Radmore, P. M.
ORCID
Barnett, Stephen M.
Publisher
Oxford University PressOxford
Published
2002-11-14
DOI
10.1093/acprof:oso/9780198563617.001.0001
OpenAlex
W1584661976
Cited by
1,211
References
2
Citations by year
2026: 13 · 2025: 26 · 2024: 43 · 2023: 80 · 2022: 54 · 2021: 83 · 2020: 41 · 2019: 73 · 2018: 36 · 2017: 51 · 2016: 39 · 2015: 36 · 2014: 77 · 2013: 42 · 2012: 42
FWCI
16.14
Type
book
Language
en
Open access
closed
Locations
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • UCL Discovery (University College London) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords
quantum optics, analytical solution, mathematical foundations of quantum theory, energy dissipation, dressed states, optical fields, atoms

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