Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling

Luis A.Duffaut Espinosa; Z. Miao; I. R. Petersen; V. Ugrinovskii; M. R. James

doi:10.1109/CDC.2013.6760154

Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling

Luis A.Duffaut Espinosa
, Z. Miao
, I. R. Petersen
, V. Ugrinovskii
, M. R. James

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

1 Citation (Scopus)

Abstract

This paper aims to provide conditions under which a quantum stochastic differential equation can serve as a model for interconnection of a bilinear system evolving on an operator group SU(2) and a linear quantum system representing a quantum harmonic oscillator. To answer this question we derive algebraic conditions for the preservation of canonical commutation relations (CCRs) of quantum stochastic differential equations (QSDE) having a subset of system variables satisfying the harmonic oscillator CCRs, and the remaining variables obeying the CCRs of SU(2). Then, it is shown that from the physical realizability point of view such QSDEs correspond to bilinear-linear quantum cascades.

Original language	English
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1866-1871
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760154
Publication status	Published - 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: 10 Dec 2013 → 13 Dec 2013

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	10/12/13 → 13/12/13

Access to Document

10.1109/CDC.2013.6760154

Cite this

Espinosa, L. A. D., Miao, Z., Petersen, I. R., Ugrinovskii, V., & James, M. R. (2013). Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 1866-1871). Article 6760154 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760154

Espinosa, Luis A.Duffaut ; Miao, Z. ; Petersen, I. R. et al. / Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling. 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 1866-1871 (Proceedings of the IEEE Conference on Decision and Control).

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title = "Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling",

abstract = "This paper aims to provide conditions under which a quantum stochastic differential equation can serve as a model for interconnection of a bilinear system evolving on an operator group SU(2) and a linear quantum system representing a quantum harmonic oscillator. To answer this question we derive algebraic conditions for the preservation of canonical commutation relations (CCRs) of quantum stochastic differential equations (QSDE) having a subset of system variables satisfying the harmonic oscillator CCRs, and the remaining variables obeying the CCRs of SU(2). Then, it is shown that from the physical realizability point of view such QSDEs correspond to bilinear-linear quantum cascades.",

author = "Espinosa, \{Luis A.Duffaut\} and Z. Miao and Petersen, \{I. R.\} and V. Ugrinovskii and James, \{M. R.\}",

year = "2013",

doi = "10.1109/CDC.2013.6760154",

language = "English",

isbn = "9781467357173",

series = "Proceedings of the IEEE Conference on Decision and Control",

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

pages = "1866--1871",

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address = "United States",

note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

}

Espinosa, LAD, Miao, Z, Petersen, IR, Ugrinovskii, V & James, MR 2013, Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760154, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1866-1871, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 10/12/13. https://doi.org/10.1109/CDC.2013.6760154

Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling. / Espinosa, Luis A.Duffaut; Miao, Z.; Petersen, I. R. et al.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 1866-1871 6760154 (Proceedings of the IEEE Conference on Decision and Control).

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

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AU - James, M. R.

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AB - This paper aims to provide conditions under which a quantum stochastic differential equation can serve as a model for interconnection of a bilinear system evolving on an operator group SU(2) and a linear quantum system representing a quantum harmonic oscillator. To answer this question we derive algebraic conditions for the preservation of canonical commutation relations (CCRs) of quantum stochastic differential equations (QSDE) having a subset of system variables satisfying the harmonic oscillator CCRs, and the remaining variables obeying the CCRs of SU(2). Then, it is shown that from the physical realizability point of view such QSDEs correspond to bilinear-linear quantum cascades.

UR - https://www.scopus.com/pages/publications/84902310558

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DO - 10.1109/CDC.2013.6760154

M3 - Conference Paper

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

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Espinosa LAD, Miao Z, Petersen IR, Ugrinovskii V, James MR. Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 1866-1871. 6760154. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2013.6760154

Physical realizability conditions for mixed bilinear-linear quantum cascades with pure field coupling

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