Quantum Filtering for Linear Dynamical Quantum Systems

Hendra I. Nurdin, Naoki Yamamoto

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter introduces quantum filtering theory as a quantum analogue of stochastic filtering theory. When applied to linear quantum systems, this leads to a quantum version of the Kalman filter. Concepts from quantum probability theory that are relevant to quantum filtering theory are introduced, including a suitable notion of quantum conditional expectations. The chapter also briefly introduces robust observers for linear quantum systems to deal with modeling uncertainties for the purpose of estimation.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages123-151
Number of pages29
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
Filtering
Kalman filters
Linear Systems
Quantum Probability
Uncertainty Modeling
Conditional Expectation
Probability Theory
Quantum Theory
Kalman Filter
Observer
Analogue
Uncertainty

Keywords

  • Covariance

ASJC Scopus subject areas

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

Cite this

Nurdin, H. I., & Yamamoto, N. (2017). Quantum Filtering for Linear Dynamical Quantum Systems. In Communications and Control Engineering (9783319551999 ed., pp. 123-151). (Communications and Control Engineering; No. 9783319551999). Springer International Publishing. https://doi.org/10.1007/978-3-319-55201-9_4

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

Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. p. 123-151 (Communications and Control Engineering; No. 9783319551999).

Research output: Chapter in Book/Report/Conference proceedingChapter

Nurdin, HI & Yamamoto, N 2017, Quantum Filtering for Linear Dynamical Quantum Systems. in Communications and Control Engineering. 9783319551999 edn, Communications and Control Engineering, no. 9783319551999, Springer International Publishing, pp. 123-151. https://doi.org/10.1007/978-3-319-55201-9_4
Nurdin HI, Yamamoto N. Quantum Filtering for Linear Dynamical Quantum Systems. In Communications and Control Engineering. 9783319551999 ed. Springer International Publishing. 2017. p. 123-151. (Communications and Control Engineering; 9783319551999). https://doi.org/10.1007/978-3-319-55201-9_4
Nurdin, Hendra I. ; Yamamoto, Naoki. / Quantum Filtering for Linear Dynamical Quantum Systems. Communications and Control Engineering. 9783319551999. ed. Springer International Publishing, 2017. pp. 123-151 (Communications and Control Engineering; 9783319551999).
@inbook{58003e78485342448f3c50bf6f6d2366,
title = "Quantum Filtering for Linear Dynamical Quantum Systems",
abstract = "This chapter introduces quantum filtering theory as a quantum analogue of stochastic filtering theory. When applied to linear quantum systems, this leads to a quantum version of the Kalman filter. Concepts from quantum probability theory that are relevant to quantum filtering theory are introduced, including a suitable notion of quantum conditional expectations. The chapter also briefly introduces robust observers for linear quantum systems to deal with modeling uncertainties for the purpose of estimation.",
keywords = "Covariance",
author = "Nurdin, {Hendra I.} and Naoki Yamamoto",
year = "2017",
month = "1",
day = "1",
doi = "10.1007/978-3-319-55201-9_4",
language = "English",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9783319551999",
pages = "123--151",
booktitle = "Communications and Control Engineering",
edition = "9783319551999",

}

TY - CHAP

T1 - Quantum Filtering for Linear Dynamical Quantum Systems

AU - Nurdin, Hendra I.

AU - Yamamoto, Naoki

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This chapter introduces quantum filtering theory as a quantum analogue of stochastic filtering theory. When applied to linear quantum systems, this leads to a quantum version of the Kalman filter. Concepts from quantum probability theory that are relevant to quantum filtering theory are introduced, including a suitable notion of quantum conditional expectations. The chapter also briefly introduces robust observers for linear quantum systems to deal with modeling uncertainties for the purpose of estimation.

AB - This chapter introduces quantum filtering theory as a quantum analogue of stochastic filtering theory. When applied to linear quantum systems, this leads to a quantum version of the Kalman filter. Concepts from quantum probability theory that are relevant to quantum filtering theory are introduced, including a suitable notion of quantum conditional expectations. The chapter also briefly introduces robust observers for linear quantum systems to deal with modeling uncertainties for the purpose of estimation.

KW - Covariance

UR - http://www.scopus.com/inward/record.url?scp=85042848575&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042848575&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-55201-9_4

DO - 10.1007/978-3-319-55201-9_4

M3 - Chapter

AN - SCOPUS:85042848575

T3 - Communications and Control Engineering

SP - 123

EP - 151

BT - Communications and Control Engineering

PB - Springer International Publishing

ER -