Realization Theory for Linear Dynamical Quantum Systems

Hendra I. Nurdin, Naoki Yamamoto

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter presents a realization/network synthesis theory for linear quantum systems. This theory addresses the question of how one can go from an abstract description of a linear quantum system to a concrete realization of the system using quantum optical devices. Two distinct types of realization problems are introduced and treated: the strict (or hard) realization problem and the transfer function (or soft) realization problem. The system to be realized is decomposed into simpler subsystems, and how these subsystems can be realized, at least approximately, in the quantum optical setting is developed. In particular, it is shown that simpler realizations can be obtained for completely passive linear quantum systems.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages73-122
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

Realization Theory
Optical devices
Quantum Systems
Transfer functions
Concretes
Linear Systems
Subsystem
Optical Devices
Transfer Function
Synthesis
Distinct

Keywords

  • Attenuation
  • Expense

ASJC Scopus subject areas

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

Cite this

Nurdin, H. I., & Yamamoto, N. (2017). Realization Theory for Linear Dynamical Quantum Systems. In Communications and Control Engineering (9783319551999 ed., pp. 73-122). (Communications and Control Engineering; No. 9783319551999). Springer International Publishing. https://doi.org/10.1007/978-3-319-55201-9_3

Realization Theory for Linear Dynamical Quantum Systems. / Nurdin, Hendra I.; Yamamoto, Naoki.

Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. p. 73-122 (Communications and Control Engineering; No. 9783319551999).

Research output: Chapter in Book/Report/Conference proceedingChapter

Nurdin, HI & Yamamoto, N 2017, Realization Theory for Linear Dynamical Quantum Systems. in Communications and Control Engineering. 9783319551999 edn, Communications and Control Engineering, no. 9783319551999, Springer International Publishing, pp. 73-122. https://doi.org/10.1007/978-3-319-55201-9_3
Nurdin HI, Yamamoto N. Realization Theory for Linear Dynamical Quantum Systems. In Communications and Control Engineering. 9783319551999 ed. Springer International Publishing. 2017. p. 73-122. (Communications and Control Engineering; 9783319551999). https://doi.org/10.1007/978-3-319-55201-9_3
Nurdin, Hendra I. ; Yamamoto, Naoki. / Realization Theory for Linear Dynamical Quantum Systems. Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. pp. 73-122 (Communications and Control Engineering; 9783319551999).
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