The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Methods in Theoretical Quantum Optics
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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In the citing paper
“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]
In the citing paper
“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]
In the citing paper
“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]
Citations
Cites
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Gardiner, C. W. (1991) · Springer Series in Synergetics · doi:10.1007/978-3-662-09642-0 · Cited by 993
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Quantum Machine Learning in Feature Hilbert Spaces
Schuld, M., & Killoran, N. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.040504 · Cited by 1,840
Continuous Variable Quantum Information: Gaussian States and Beyond
Adesso, G., Ragy, S., & Lee, A. R. (2014) · Open Systems & Information Dynamics · doi:10.1142/s1230161214400010 · Cited by 787
Measures and dynamics of entangled states
Mintert, F., Carvalho, A. R. R., Kuś, M., & Buchleitner, A. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.04.006 · Cited by 420
Continuous-variable quantum neural networks
Killoran, N., Bromley, T. R., Arrazola, J. M., Schuld, M., Quesada, N., & Lloyd, S. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033063 · Cited by 418
Detailed study of Gaussian boson sampling
Kruse, R., Hamilton, C. S., Sansoni, L., Barkhofen, S., Silberhorn, C., & Jex, I. (2019) · Physical Review A · doi:10.1103/physreva.100.032326 · Cited by 180
Limits on the deterministic creation of pure single-photon states using parametric down-conversion
Christ, A., & Silberhorn, C. (2012) · Physical Review A · doi:10.1103/physreva.85.023829 · Cited by 127
Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
Winkler, R., Zülicke, U., & Bolte, J. (2007) · Physical Review B · doi:10.1103/physrevb.75.205314 · Cited by 70
Magnetic focusing of charge carriers from spin-split bands: semiclassics of a Zitterbewegung effect
Zülicke, U., Bolte, J., & Winkler, R. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/9/355 · Cited by 35
Quantum metrology of spatial deformation using arrays of classical and quantum light emitters
Sidhu, J. S., & Kok, P. (2017) · Physical Review A · doi:10.1103/physreva.95.063829 · Cited by 31
The quantum theory of the Penning trap
Crimin, F., Garraway, B. M., & Verdú, J. (2018) · Journal of Modern Optics · doi:10.1080/09500340.2017.1393570 · Cited by 10
Quantisation of the elliptical Penning trap
Crimin, F., Garraway, B. M., & Verdú, J. L. (2021) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/1361-6455/abfeda · Cited by 1
Metadata
- Authors
- Barnett, S. M., & Radmore, P. M.
- ORCID
- Barnett, Stephen M.
- Publisher
- Oxford University PressOxford
- Published
- 2002-11-14
- 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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