Representation and network synthesis for a class of mixed quantum–classical linear stochastic systems

Shi Wang, Hendra I. Nurdin, Guofeng Zhang, Matthew R. James

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

The purpose of this paper is to present a network realization theory for a class of mixed quantum–classical linear stochastic systems. Two forms, the standard form and the general form, of this class of linear mixed quantum–classical systems are proposed. Necessary and sufficient conditions for their physical realizability are derived. Based on these physical realizability conditions, a network synthesis theory for this class of linear mixed quantum–classical systems is developed, which clearly exhibits the quantum component, the classical component, and their interface. An example is used to illustrate the theory presented in this paper.

Original languageEnglish
Pages (from-to)84-97
Number of pages14
JournalAutomatica
Volume96
DOIs
Publication statusPublished - 1 Oct 2018

Keywords

  • Classical probability
  • Linear stochastic systems
  • Mixed quantum–classical linear stochastic systems
  • Network synthesis theory
  • Physical realizability condition
  • Quantum probability
  • Quantum systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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