Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Single-photon coherent feedback control and filtering

  • Guofeng ZhangEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_100156-1
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Abstract

A light field is in a k-photon state if it contains exactlyk photons. Due to their highly quantum nature, photon states hold promising applications in quantum communication, computing, metrology, and simulations. Recently, there has been rapidly growing interest in the generation and manipulation of various photon states. A new and important problem in the field of control engineering is: How to analyze and synthesize quantum systems driven by photon states to achieve pre-specified control performance? In this survey, we introduce single-photon states and show how a quantum linear system processes a single-photon input and how to use linear coherent feedback networks to shape the temporal pulse of a single photon. A single-photon filter is also presented. (An extended version of this survey can be found at arXiv:1902.10961.)

Keywords

Quantum control systems Filtering Coherent feedback control 
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Notes

Acknowledgements

I wish to thank financial support from the Hong Kong Research Grant Council under grants 15206915, 15208418, and 15203619.

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong KongChina

Section editors and affiliations

  • Ian R. Petersen
    • 1
  1. 1.Research School of Electrical, Energy and Materials EngineeringAustralian National UniversityCanberraAustralia