Identifying a damping rate function for a non-Markovian single qubit system

Shibei Xue; Min Jiang; Dewei Li; Jun Zhang; Ian R. Petersen

doi:10.1109/SMC.2017.8122619

Identifying a damping rate function for a non-Markovian single qubit system

Shibei Xue, Min Jiang, Dewei Li, Jun Zhang, Ian R. Petersen

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

1 Citation (Scopus)

Abstract

In this paper, we present a gradient algorithm to identify a damping rate function for a non-Markovian single qubit system. The dynamics of the single qubit system in a non- Markovian environment are assumed to obey a time convolutionless master equation, where all the non-Markovian effects of the environment are combined in the unknown damping rate function. To identify the damping rate function, we measure time trace observables of the qubit such that we can formulate the identification procedure as an optimization problem. Thus, we design a gradient algorithm to optimally reveal the damping rate function.

Original language	English
Title of host publication	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	300-304
Number of pages	5
ISBN (Electronic)	9781538616451
DOIs	https://doi.org/10.1109/SMC.2017.8122619
Publication status	Published - 27 Nov 2017
Event	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 - Banff, Canada Duration: 5 Oct 2017 → 8 Oct 2017

Publication series

Name	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Volume	2017-January

Conference

Conference	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Country/Territory	Canada
City	Banff
Period	5/10/17 → 8/10/17

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10.1109/SMC.2017.8122619

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Xue, S., Jiang, M., Li, D., Zhang, J., & Petersen, I. R. (2017). Identifying a damping rate function for a non-Markovian single qubit system. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 (pp. 300-304). (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017; Vol. 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2017.8122619

@inproceedings{c29b8edb69c1473a9069686a6a6bfeeb,

title = "Identifying a damping rate function for a non-Markovian single qubit system",

abstract = "In this paper, we present a gradient algorithm to identify a damping rate function for a non-Markovian single qubit system. The dynamics of the single qubit system in a non- Markovian environment are assumed to obey a time convolutionless master equation, where all the non-Markovian effects of the environment are combined in the unknown damping rate function. To identify the damping rate function, we measure time trace observables of the qubit such that we can formulate the identification procedure as an optimization problem. Thus, we design a gradient algorithm to optimally reveal the damping rate function.",

author = "Shibei Xue and Min Jiang and Dewei Li and Jun Zhang and Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 ; Conference date: 05-10-2017 Through 08-10-2017",

year = "2017",

month = nov,

day = "27",

doi = "10.1109/SMC.2017.8122619",

language = "English",

series = "2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017",

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

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address = "United States",

}

Xue, S, Jiang, M, Li, D, Zhang, J & Petersen, IR 2017, Identifying a damping rate function for a non-Markovian single qubit system. in 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 300-304, 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, Banff, Canada, 5/10/17. https://doi.org/10.1109/SMC.2017.8122619

Identifying a damping rate function for a non-Markovian single qubit system. / Xue, Shibei; Jiang, Min; Li, Dewei et al.
2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 300-304 (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017; Vol. 2017-January).

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

TY - GEN

T1 - Identifying a damping rate function for a non-Markovian single qubit system

AU - Xue, Shibei

AU - Jiang, Min

AU - Li, Dewei

AU - Zhang, Jun

AU - Petersen, Ian R.

PY - 2017/11/27

Y1 - 2017/11/27

N2 - In this paper, we present a gradient algorithm to identify a damping rate function for a non-Markovian single qubit system. The dynamics of the single qubit system in a non- Markovian environment are assumed to obey a time convolutionless master equation, where all the non-Markovian effects of the environment are combined in the unknown damping rate function. To identify the damping rate function, we measure time trace observables of the qubit such that we can formulate the identification procedure as an optimization problem. Thus, we design a gradient algorithm to optimally reveal the damping rate function.

AB - In this paper, we present a gradient algorithm to identify a damping rate function for a non-Markovian single qubit system. The dynamics of the single qubit system in a non- Markovian environment are assumed to obey a time convolutionless master equation, where all the non-Markovian effects of the environment are combined in the unknown damping rate function. To identify the damping rate function, we measure time trace observables of the qubit such that we can formulate the identification procedure as an optimization problem. Thus, we design a gradient algorithm to optimally reveal the damping rate function.

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U2 - 10.1109/SMC.2017.8122619

DO - 10.1109/SMC.2017.8122619

M3 - Conference contribution

T3 - 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017

SP - 300

EP - 304

BT - 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017

Y2 - 5 October 2017 through 8 October 2017

ER -

Xue S, Jiang M, Li D, Zhang J, Petersen IR. Identifying a damping rate function for a non-Markovian single qubit system. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 300-304. (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017). doi: 10.1109/SMC.2017.8122619

Identifying a damping rate function for a non-Markovian single qubit system

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