Convergence to pure steady states of linear quantum systems

Muhammad F. Emzir; Ian R. Petersen; Matthew J. Woolley

doi:10.23919/ECC.2019.8795646

Convergence to pure steady states of linear quantum systems

Muhammad F. Emzir
, Ian R. Petersen
, Matthew J. Woolley

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study the convergence of density operators of single-mode linear quantum systems towards their steady states in trace norm. We give compact and intuitive necessary and sufficient conditions for such linear quantum systems to have pure Gaussian steady states in terms of the Hamiltonian and coupling operators.

Original language	English
Title of host publication	2019 18th European Control Conference, ECC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2868-2872
Number of pages	5
ISBN (Electronic)	9783907144008
DOIs	https://doi.org/10.23919/ECC.2019.8795646
State	Published - Jun 2019
Externally published	Yes

Publication series

Name	2019 18th European Control Conference, ECC 2019

Bibliographical note

Publisher Copyright:
© 2019 EUCA.

ASJC Scopus subject areas

Instrumentation
Control and Optimization

Access to Document

10.23919/ECC.2019.8795646

Cite this

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title = "Convergence to pure steady states of linear quantum systems",

abstract = "We study the convergence of density operators of single-mode linear quantum systems towards their steady states in trace norm. We give compact and intuitive necessary and sufficient conditions for such linear quantum systems to have pure Gaussian steady states in terms of the Hamiltonian and coupling operators.",

author = "Emzir, \{Muhammad F.\} and Petersen, \{Ian R.\} and Woolley, \{Matthew J.\}",

note = "Publisher Copyright: {\textcopyright} 2019 EUCA.",

year = "2019",

month = jun,

doi = "10.23919/ECC.2019.8795646",

language = "English",

series = "2019 18th European Control Conference, ECC 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2868--2872",

booktitle = "2019 18th European Control Conference, ECC 2019",

address = "United States",

}

Convergence to pure steady states of linear quantum systems. / Emzir, Muhammad F.; Petersen, Ian R.; Woolley, Matthew J.
2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2868-2872 8795646 (2019 18th European Control Conference, ECC 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Petersen, Ian R.

AU - Woolley, Matthew J.

PY - 2019/6

Y1 - 2019/6

N2 - We study the convergence of density operators of single-mode linear quantum systems towards their steady states in trace norm. We give compact and intuitive necessary and sufficient conditions for such linear quantum systems to have pure Gaussian steady states in terms of the Hamiltonian and coupling operators.

AB - We study the convergence of density operators of single-mode linear quantum systems towards their steady states in trace norm. We give compact and intuitive necessary and sufficient conditions for such linear quantum systems to have pure Gaussian steady states in terms of the Hamiltonian and coupling operators.

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DO - 10.23919/ECC.2019.8795646

M3 - Conference contribution

AN - SCOPUS:85071534556

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SP - 2868

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BT - 2019 18th European Control Conference, ECC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Convergence to pure steady states of linear quantum systems

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this