Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment

Shan Ma, Matthew J. Woolley, Ian R. Petersen, Naoki Yamamoto

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper presents two realizations of linear quantum systems for covariance assignment corresponding to pure Gaussian states. The first one is called a cascade realization; given any covariance matrix corresponding to a pure Gaussian state, we can construct a cascaded quantum system generating that state. The second one is called a locally dissipative realization; given a covariance matrix corresponding to a pure Gaussian state, if it satisfies certain conditions, we can construct a linear quantum system that has only local interactions with its environment and achieves the assigned covariance matrix. Both realizations are illustrated by examples from quantum optics.

Original languageEnglish
Pages (from-to)263-270
Number of pages8
JournalAutomatica
Volume90
DOIs
Publication statusPublished - 2018 Apr 1

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Keywords

  • Cascade realization
  • Covariance assignment
  • Linear quantum system
  • Locally dissipative realization
  • Pure Gaussian state

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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