Feedback Control of Linear Dynamical Quantum Systems

Hendra I. Nurdin, Naoki Yamamoto

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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 control. Examples are provided to illustrate each control method.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages153-202
Number of pages50
Edition9783319551999
DOIs
Publication statusPublished - 2017 Jan 1

Publication series

NameCommunications and Control Engineering
Number9783319551999
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

Fingerprint

Quantum Systems
Feedback Control
Feedback control
Coherent Control
Quantum Control
Control Problem
Filtering
Linear Systems
Distinct
Feedback

Keywords

  • Attenuation
  • Covariance
  • Expense

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering
  • Control and Optimization

Cite this

Nurdin, H. I., & Yamamoto, N. (2017). Feedback Control of Linear Dynamical Quantum Systems. In Communications and Control Engineering (9783319551999 ed., pp. 153-202). (Communications and Control Engineering; No. 9783319551999). Springer International Publishing. https://doi.org/10.1007/978-3-319-55201-9_5

Feedback Control of Linear Dynamical Quantum Systems. / Nurdin, Hendra I.; Yamamoto, Naoki.

Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. p. 153-202 (Communications and Control Engineering; No. 9783319551999).

Research output: Chapter in Book/Report/Conference proceedingChapter

Nurdin, HI & Yamamoto, N 2017, Feedback Control of Linear Dynamical Quantum Systems. in Communications and Control Engineering. 9783319551999 edn, Communications and Control Engineering, no. 9783319551999, Springer International Publishing, pp. 153-202. https://doi.org/10.1007/978-3-319-55201-9_5
Nurdin HI, Yamamoto N. Feedback Control of Linear Dynamical Quantum Systems. In Communications and Control Engineering. 9783319551999 ed. Springer International Publishing. 2017. p. 153-202. (Communications and Control Engineering; 9783319551999). https://doi.org/10.1007/978-3-319-55201-9_5
Nurdin, Hendra I. ; Yamamoto, Naoki. / Feedback Control of Linear Dynamical Quantum Systems. Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. pp. 153-202 (Communications and Control Engineering; 9783319551999).
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