Feedback Control of Linear Dynamical Quantum Systems

  • Hendra I. NurdinEmail author
  • Naoki Yamamoto
Part of the Communications and Control Engineering book series (CCE)


This chapter introduces and treats the topic of quantum feedback control on linear quantum systems. Two distinct approaches to feedback control of quantum systems are considered: measurement-based feedback control and coherent feedback control. For measurement-based feedback control, the notions of controlled Hudson–Parthasarathy QSDEs and controlled quantum filtering equations are introduced. Three control problems are formulated and solved: measurement-based linear quadratic Gaussian control, coherent linear quadratic Gaussian control, and coherent feedback \(H^{\infty }\) control. Examples are provided to illustrate each control method.


Linear Matrix Inequality Optical Cavity Disturbance Attenuation Controller Synthesis Classical Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Electrical Engineering and TelecommunicationsUNSW AustraliaSydneyAustralia
  2. 2.Department of Applied Physics and Physico-InformaticsKeio UniversityYokohamaJapan

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