Lyapunov analysis for coherent control of quantum systems by dissipation

Yu Pan; Valery Ugrinovskii; Matthew R. James

doi:10.1109/ACC.2015.7170718

Lyapunov analysis for coherent control of quantum systems by dissipation

Yu Pan, Valery Ugrinovskii, Matthew R. James

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

4 Citations (Scopus)

Abstract

Control by dissipation, or environment engineering, constitutes an important class of quantum coherent control methods which was proposed to improve robustness and scalability of quantum control systems. This paper aims to develop the theory for engineering the dissipation based on a ground-state Lyapunov stability analysis of the open quantum systems via a Heisenberg-picture approach. In particular, expressing the Lyapunov conditions as operator inequalities allows a purely algebraic treatment of the quantum environment engineering problem, which facilitates the integration of large-scale quantum coherent networks and could be used to draw an explicit connection to the theory of quantum Markov semigroups.

Original language	English
Title of host publication	ACC 2015 - 2015 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	98-103
Number of pages	6
ISBN (Electronic)	9781479986842
DOIs	https://doi.org/10.1109/ACC.2015.7170718
Publication status	Published - 28 Jul 2015
Event	2015 American Control Conference, ACC 2015 - Chicago, United States Duration: 1 Jul 2015 → 3 Jul 2015

Publication series

Name	Proceedings of the American Control Conference
Volume	2015-July
ISSN (Print)	0743-1619

Conference

Conference	2015 American Control Conference, ACC 2015
Country/Territory	United States
City	Chicago
Period	1/07/15 → 3/07/15

Access to Document

10.1109/ACC.2015.7170718

Cite this

@inproceedings{6e8767aaa7074833b03dc91878ba2797,

title = "Lyapunov analysis for coherent control of quantum systems by dissipation",

abstract = "Control by dissipation, or environment engineering, constitutes an important class of quantum coherent control methods which was proposed to improve robustness and scalability of quantum control systems. This paper aims to develop the theory for engineering the dissipation based on a ground-state Lyapunov stability analysis of the open quantum systems via a Heisenberg-picture approach. In particular, expressing the Lyapunov conditions as operator inequalities allows a purely algebraic treatment of the quantum environment engineering problem, which facilitates the integration of large-scale quantum coherent networks and could be used to draw an explicit connection to the theory of quantum Markov semigroups.",

author = "Yu Pan and Valery Ugrinovskii and James, {Matthew R.}",

note = "Publisher Copyright: {\textcopyright} 2015 American Automatic Control Council.; 2015 American Control Conference, ACC 2015 ; Conference date: 01-07-2015 Through 03-07-2015",

year = "2015",

month = jul,

day = "28",

doi = "10.1109/ACC.2015.7170718",

language = "English",

series = "Proceedings of the American Control Conference",

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

pages = "98--103",

booktitle = "ACC 2015 - 2015 American Control Conference",

address = "United States",

}

Pan, Y, Ugrinovskii, V & James, MR 2015, Lyapunov analysis for coherent control of quantum systems by dissipation. in ACC 2015 - 2015 American Control Conference., 7170718, Proceedings of the American Control Conference, vol. 2015-July, Institute of Electrical and Electronics Engineers Inc., pp. 98-103, 2015 American Control Conference, ACC 2015, Chicago, United States, 1/07/15. https://doi.org/10.1109/ACC.2015.7170718

Lyapunov analysis for coherent control of quantum systems by dissipation. / Pan, Yu; Ugrinovskii, Valery; James, Matthew R.
ACC 2015 - 2015 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 98-103 7170718 (Proceedings of the American Control Conference; Vol. 2015-July).

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

TY - GEN

T1 - Lyapunov analysis for coherent control of quantum systems by dissipation

AU - Pan, Yu

AU - Ugrinovskii, Valery

AU - James, Matthew R.

PY - 2015/7/28

Y1 - 2015/7/28

N2 - Control by dissipation, or environment engineering, constitutes an important class of quantum coherent control methods which was proposed to improve robustness and scalability of quantum control systems. This paper aims to develop the theory for engineering the dissipation based on a ground-state Lyapunov stability analysis of the open quantum systems via a Heisenberg-picture approach. In particular, expressing the Lyapunov conditions as operator inequalities allows a purely algebraic treatment of the quantum environment engineering problem, which facilitates the integration of large-scale quantum coherent networks and could be used to draw an explicit connection to the theory of quantum Markov semigroups.

AB - Control by dissipation, or environment engineering, constitutes an important class of quantum coherent control methods which was proposed to improve robustness and scalability of quantum control systems. This paper aims to develop the theory for engineering the dissipation based on a ground-state Lyapunov stability analysis of the open quantum systems via a Heisenberg-picture approach. In particular, expressing the Lyapunov conditions as operator inequalities allows a purely algebraic treatment of the quantum environment engineering problem, which facilitates the integration of large-scale quantum coherent networks and could be used to draw an explicit connection to the theory of quantum Markov semigroups.

UR - http://www.scopus.com/inward/record.url?scp=84940932768&partnerID=8YFLogxK

U2 - 10.1109/ACC.2015.7170718

DO - 10.1109/ACC.2015.7170718

M3 - Conference contribution

T3 - Proceedings of the American Control Conference

SP - 98

EP - 103

BT - ACC 2015 - 2015 American Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2015 American Control Conference, ACC 2015

Y2 - 1 July 2015 through 3 July 2015

ER -

Lyapunov analysis for coherent control of quantum systems by dissipation

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this