Quantum master equation and filter for systems driven by fields in a single photon state

John E. Gough; Matthew R. James; Hendra I. Nurdin

doi:10.1109/CDC.2011.6160675

Quantum master equation and filter for systems driven by fields in a single photon state

John E. Gough^*, Matthew R. James, Hendra I. Nurdin

^*Corresponding author for this work

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference Proceeding (Non-Journal item)

21 Citations (Scopus)

Abstract

The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages	5570-5576
Number of pages	7
DOIs	https://doi.org/10.1109/CDC.2011.6160675
Publication status	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States of America Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States of America
City	Orlando, FL
Period	12 Dec 2011 → 15 Dec 2011

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Gough, J. E., James, M. R., & Nurdin, H. I. (2011). Quantum master equation and filter for systems driven by fields in a single photon state. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 5570-5576). Article 6160675 (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6160675

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title = "Quantum master equation and filter for systems driven by fields in a single photon state",

abstract = "The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.",

author = "Gough, {John E.} and James, {Matthew R.} and Nurdin, {Hendra I.}",

note = "Copyright: Copyright 2012 Elsevier B.V., All rights reserved.; 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

year = "2011",

doi = "10.1109/CDC.2011.6160675",

language = "English",

isbn = "9781612848006",

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

pages = "5570--5576",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

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Gough, JE, James, MR & Nurdin, HI 2011, Quantum master equation and filter for systems driven by fields in a single photon state. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160675, Proceedings of the IEEE Conference on Decision and Control, pp. 5570-5576, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States of America, 12 Dec 2011. https://doi.org/10.1109/CDC.2011.6160675

Quantum master equation and filter for systems driven by fields in a single photon state. / Gough, John E.; James, Matthew R.; Nurdin, Hendra I.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. 2011. p. 5570-5576 6160675 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference Proceeding (Non-Journal item)

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N2 - The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.

AB - The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.

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M3 - Conference Proceeding (Non-Journal item)

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Quantum master equation and filter for systems driven by fields in a single photon state

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