Linear open quantum systems with passive Hamiltonians and a single local dissipative process

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

doi:10.1016/j.automatica.2020.109477

Linear open quantum systems with passive Hamiltonians and a single local dissipative process

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

Department of Applied Physics and Physico-Informatics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider linear open quantum systems with passive Hamiltonians and a single, local dissipative process. Generally speaking, these systems are easier to implement than systems with active Hamiltonians and non-local dissipative processes. We parametrize the set of all covariance matrices corresponding to pure Gaussian steady states that can be achieved by this type of quantum system. Given such pure states, we parametrize the corresponding linear quantum systems with passive Hamiltonians and a single, local dissipative process that generate them.

Original language	English
Article number	109477
Journal	Automatica
Volume	125
DOIs	https://doi.org/10.1016/j.automatica.2020.109477
Publication status	Published - 2021 Mar

Keywords

Covariance assignment
Linear open quantum system
Local dissipative process
Passive Hamiltonian
Pure Gaussian state
State preparation

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2020.109477

Cite this

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title = "Linear open quantum systems with passive Hamiltonians and a single local dissipative process",

abstract = "We consider linear open quantum systems with passive Hamiltonians and a single, local dissipative process. Generally speaking, these systems are easier to implement than systems with active Hamiltonians and non-local dissipative processes. We parametrize the set of all covariance matrices corresponding to pure Gaussian steady states that can be achieved by this type of quantum system. Given such pure states, we parametrize the corresponding linear quantum systems with passive Hamiltonians and a single, local dissipative process that generate them.",

keywords = "Covariance assignment, Linear open quantum system, Local dissipative process, Passive Hamiltonian, Pure Gaussian state, State preparation",

author = "Shan Ma and Woolley, {Matthew J.} and Petersen, {Ian R.} and Naoki Yamamoto",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China under Grant Nos. 61803389 and 61973317 , the Australian Research Council (ARC) under Grant No. DP180101805 , ARC, Australia COE Grant No. CE110001013 , the Air Force Office of Scientific Research (AFOSR), United States , under Grant No. FA2386-16-1-4065 and Grant No. FA2386-18-1-4026 , US Office of Naval Research Global under grant N629009-19-1-2129 and JST PRESTO Grant No. JPMJPR166A . Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

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doi = "10.1016/j.automatica.2020.109477",

language = "English",

volume = "125",

journal = "Automatica",

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T1 - Linear open quantum systems with passive Hamiltonians and a single local dissipative process

AU - Ma, Shan

AU - Woolley, Matthew J.

AU - Petersen, Ian R.

AU - Yamamoto, Naoki

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China under Grant Nos. 61803389 and 61973317 , the Australian Research Council (ARC) under Grant No. DP180101805 , ARC, Australia COE Grant No. CE110001013 , the Air Force Office of Scientific Research (AFOSR), United States , under Grant No. FA2386-16-1-4065 and Grant No. FA2386-18-1-4026 , US Office of Naval Research Global under grant N629009-19-1-2129 and JST PRESTO Grant No. JPMJPR166A . Publisher Copyright: © 2020 Elsevier Ltd

PY - 2021/3

Y1 - 2021/3

N2 - We consider linear open quantum systems with passive Hamiltonians and a single, local dissipative process. Generally speaking, these systems are easier to implement than systems with active Hamiltonians and non-local dissipative processes. We parametrize the set of all covariance matrices corresponding to pure Gaussian steady states that can be achieved by this type of quantum system. Given such pure states, we parametrize the corresponding linear quantum systems with passive Hamiltonians and a single, local dissipative process that generate them.

AB - We consider linear open quantum systems with passive Hamiltonians and a single, local dissipative process. Generally speaking, these systems are easier to implement than systems with active Hamiltonians and non-local dissipative processes. We parametrize the set of all covariance matrices corresponding to pure Gaussian steady states that can be achieved by this type of quantum system. Given such pure states, we parametrize the corresponding linear quantum systems with passive Hamiltonians and a single, local dissipative process that generate them.

KW - Covariance assignment

KW - Linear open quantum system

KW - Local dissipative process

KW - Passive Hamiltonian

KW - Pure Gaussian state

KW - State preparation

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DO - 10.1016/j.automatica.2020.109477

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SN - 0005-1098

VL - 125

JO - Automatica

JF - Automatica

M1 - 109477

ER -

Linear open quantum systems with passive Hamiltonians and a single local dissipative process

Abstract

Keywords

ASJC Scopus subject areas

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