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 › Scientific › 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	Proceedings of the 18th European Control Conference, ECC 2019
Publisher	IEEE
Pages	2868-2872
Number of pages	5
ISBN (Electronic)	9783907144008
DOIs	https://doi.org/10.23919/ECC.2019.8795646
Publication status	Published - 1 Jun 2019
MoE publication type	A4 Conference publication
Event	European Control Conference - Naples, Italy Duration: 25 Jun 2019 → 28 Jun 2019 Conference number: 18

Conference

Conference	European Control Conference
Abbreviated title	ECC
Country/Territory	Italy
City	Naples
Period	25/06/2019 → 28/06/2019

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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.",

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M3 - Conference contribution

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Convergence to pure steady states of linear quantum systems

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