How many quantum noises need to be added to make an LTI system physically realizable?

Shanon L. Vuglar; Ian R. Petersen

How many quantum noises need to be added to make an LTI system physically realizable?

Shanon L. Vuglar^*, Ian R. Petersen

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

In M. R. James, H. I. Nurdin, and I. R. Petersen, "H ^∞ control of linear quantum stochastic systems," IEEE Transactions on Automatic Control, vol. 53, no. 8, pp. 1787-1803, 2008, the authors showed that an arbitrary LTI system can be made physically realizable if additional quantum noise components are permitted in the implementation. However, incorporating additional noise is undesirable, and this paper refines their method in order to provide a concrete expression for the number of additional quantum noise components needed to guarantee physical realizability.

Original language	English
Title of host publication	Proceedings of the 2011 Australian Control Conference, AUCC 2011
Pages	363-367
Number of pages	5
Publication status	Published - 2011
Externally published	Yes
Event	1st Australian Control Conference, AUCC 2011 - Melbourne, VIC, Australia Duration: 10 Nov 2011 → 11 Nov 2011

Publication series

Name	Proceedings of the 2011 Australian Control Conference, AUCC 2011

Conference

Conference	1st Australian Control Conference, AUCC 2011
Country/Territory	Australia
City	Melbourne, VIC
Period	10/11/11 → 11/11/11

Cite this

@inproceedings{3f22ac4a4e52423abb95529608310bf6,

title = "How many quantum noises need to be added to make an LTI system physically realizable?",

abstract = "In M. R. James, H. I. Nurdin, and I. R. Petersen, {"}H ∞ control of linear quantum stochastic systems,{"} IEEE Transactions on Automatic Control, vol. 53, no. 8, pp. 1787-1803, 2008, the authors showed that an arbitrary LTI system can be made physically realizable if additional quantum noise components are permitted in the implementation. However, incorporating additional noise is undesirable, and this paper refines their method in order to provide a concrete expression for the number of additional quantum noise components needed to guarantee physical realizability.",

author = "Vuglar, {Shanon L.} and Petersen, {Ian R.}",

year = "2011",

language = "English",

isbn = "9780858259874",

series = "Proceedings of the 2011 Australian Control Conference, AUCC 2011",

pages = "363--367",

booktitle = "Proceedings of the 2011 Australian Control Conference, AUCC 2011",

note = "1st Australian Control Conference, AUCC 2011 ; Conference date: 10-11-2011 Through 11-11-2011",

}

How many quantum noises need to be added to make an LTI system physically realizable? / Vuglar, Shanon L.; Petersen, Ian R.
Proceedings of the 2011 Australian Control Conference, AUCC 2011. 2011. p. 363-367 6114341 (Proceedings of the 2011 Australian Control Conference, AUCC 2011).

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