Coherent-classical estimation versus purely-classical estimation for linear quantum systems

Roy Shibdas; Ian Petersen; Elanor Huntington

doi:10.1109/CDC.2014.7040294

Coherent-classical estimation versus purely-classical estimation for linear quantum systems

Roy Shibdas, Ian Petersen, Elanor Huntington

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

Abstract

We consider a coherent-classical estimation scheme for a class of linear quantum systems. It comprises an estimator that is a mixed quantum-classical system without involving coherent feedback. The estimator yields a classical estimate of a variable for the quantum plant. We demonstrate that for a passive plant that can be characterized by annihilation operators only, such coherent-classical estimation provides no improvement over purely-classical estimation. An example is also given which shows that if the plant is not assumed to be an annihilation operator only quantum system, it is possible to get better estimates with such coherent-classical estimation compared with purely-classical estimation.

Original language	English
Title of host publication	Critical Observations in a Diagnostic Problem
Place of Publication	Piscataway, New Jersey, US
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5782-5787
Edition	Peer Reviewed
ISBN (Print)	9781479977451
DOIs	https://doi.org/10.1109/CDC.2014.7040294
Publication status	Published - 2014
Event	53rd IEEE Conference on Decision and Control - Los Angeles, USA, United States Duration: 1 Jan 2014 → …

Conference

Conference	53rd IEEE Conference on Decision and Control
Country/Territory	United States
Period	1/01/14 → …
Other	December 15-17 2014

Access to Document

10.1109/CDC.2014.7040294

Cite this

@inproceedings{64ca6d389c784fa99259036489af0acb,

title = "Coherent-classical estimation versus purely-classical estimation for linear quantum systems",

abstract = "We consider a coherent-classical estimation scheme for a class of linear quantum systems. It comprises an estimator that is a mixed quantum-classical system without involving coherent feedback. The estimator yields a classical estimate of a variable for the quantum plant. We demonstrate that for a passive plant that can be characterized by annihilation operators only, such coherent-classical estimation provides no improvement over purely-classical estimation. An example is also given which shows that if the plant is not assumed to be an annihilation operator only quantum system, it is possible to get better estimates with such coherent-classical estimation compared with purely-classical estimation.",

author = "Roy Shibdas and Ian Petersen and Elanor Huntington",

year = "2014",

doi = "10.1109/CDC.2014.7040294",

language = "English",

isbn = "9781479977451",

pages = "5782--5787",

booktitle = "Critical Observations in a Diagnostic Problem",

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

address = "United States",

edition = "Peer Reviewed",

note = "53rd IEEE Conference on Decision and Control ; Conference date: 01-01-2014",

}

Shibdas, R, Petersen, I & Huntington, E 2014, Coherent-classical estimation versus purely-classical estimation for linear quantum systems. in Critical Observations in a Diagnostic Problem. Peer Reviewed edn, Institute of Electrical and Electronics Engineers Inc., Piscataway, New Jersey, US, pp. 5782-5787, 53rd IEEE Conference on Decision and Control, United States, 1/01/14. https://doi.org/10.1109/CDC.2014.7040294

Coherent-classical estimation versus purely-classical estimation for linear quantum systems. / Shibdas, Roy; Petersen, Ian; Huntington, Elanor.
Critical Observations in a Diagnostic Problem. Peer Reviewed. ed. Piscataway, New Jersey, US: Institute of Electrical and Electronics Engineers Inc., 2014. p. 5782-5787.

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

TY - GEN

T1 - Coherent-classical estimation versus purely-classical estimation for linear quantum systems

AU - Shibdas, Roy

AU - Petersen, Ian

AU - Huntington, Elanor

PY - 2014

Y1 - 2014

N2 - We consider a coherent-classical estimation scheme for a class of linear quantum systems. It comprises an estimator that is a mixed quantum-classical system without involving coherent feedback. The estimator yields a classical estimate of a variable for the quantum plant. We demonstrate that for a passive plant that can be characterized by annihilation operators only, such coherent-classical estimation provides no improvement over purely-classical estimation. An example is also given which shows that if the plant is not assumed to be an annihilation operator only quantum system, it is possible to get better estimates with such coherent-classical estimation compared with purely-classical estimation.

AB - We consider a coherent-classical estimation scheme for a class of linear quantum systems. It comprises an estimator that is a mixed quantum-classical system without involving coherent feedback. The estimator yields a classical estimate of a variable for the quantum plant. We demonstrate that for a passive plant that can be characterized by annihilation operators only, such coherent-classical estimation provides no improvement over purely-classical estimation. An example is also given which shows that if the plant is not assumed to be an annihilation operator only quantum system, it is possible to get better estimates with such coherent-classical estimation compared with purely-classical estimation.

U2 - 10.1109/CDC.2014.7040294

DO - 10.1109/CDC.2014.7040294

M3 - Conference contribution

SN - 9781479977451

SP - 5782

EP - 5787

BT - Critical Observations in a Diagnostic Problem

PB - Institute of Electrical and Electronics Engineers Inc.

CY - Piscataway, New Jersey, US

T2 - 53rd IEEE Conference on Decision and Control

Y2 - 1 January 2014

ER -

Coherent-classical estimation versus purely-classical estimation for linear quantum systems

Abstract

Conference

Access to Document

Fingerprint

Cite this