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

Keywords

  • Covariance

ASJC Scopus subject areas

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

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    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