H∞ Filtering For An Optical Cavity System Disturbed By Lorentzian Quantum Noise

S. Xue; Ian R. Petersen; Valery Ugrinovskii; Matthew R. James

doi:10.1016/j.ifacol.2017.08.1952

H^∞ Filtering For An Optical Cavity System Disturbed By Lorentzian Quantum Noise

S. Xue, Ian R. Petersen, Valery Ugrinovskii, Matthew R. James

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present a H^∞ filter for estimating dynamics of a Lorentzian-noise-disturbed non-Markovian cavity system with disturbances. The non-Markovian cavity system can be represented by an augmented system, where the Lorentzian quantum noise is parameterized by an ancillary system. This ancillary system is directly coupled to a principal system of interest and induces the non-Markovian dynamics of the principal system. The noise channels in this augmented model carry disturbances. To reduce the effect of the disturbances on the estimation, we design a H^∞ filter which can be obtained by solving a H^∞ control problem.

Original language	English
Pages (from-to)	13009-13013
Number of pages	5
Journal	20th IFAC World Congress
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.1952
Publication status	Published - Jul 2017

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10.1016/j.ifacol.2017.08.1952

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title = "H∞ Filtering For An Optical Cavity System Disturbed By Lorentzian Quantum Noise",

abstract = "In this paper, we present a H∞ filter for estimating dynamics of a Lorentzian-noise-disturbed non-Markovian cavity system with disturbances. The non-Markovian cavity system can be represented by an augmented system, where the Lorentzian quantum noise is parameterized by an ancillary system. This ancillary system is directly coupled to a principal system of interest and induces the non-Markovian dynamics of the principal system. The noise channels in this augmented model carry disturbances. To reduce the effect of the disturbances on the estimation, we design a H∞ filter which can be obtained by solving a H∞ control problem.",

keywords = "H control., H filtering, Non-Markovian quantum systems, Quantum colored noise, Quantum filtering",

author = "S. Xue and Petersen, \{Ian R.\} and Valery Ugrinovskii and James, \{Matthew R.\}",

note = "Publisher Copyright: {\textcopyright} 2017",

year = "2017",

month = jul,

doi = "10.1016/j.ifacol.2017.08.1952",

language = "English",

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journal = "20th IFAC World Congress",

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AU - Xue, S.

AU - Petersen, Ian R.

AU - Ugrinovskii, Valery

AU - James, Matthew R.

PY - 2017/7

Y1 - 2017/7

N2 - In this paper, we present a H∞ filter for estimating dynamics of a Lorentzian-noise-disturbed non-Markovian cavity system with disturbances. The non-Markovian cavity system can be represented by an augmented system, where the Lorentzian quantum noise is parameterized by an ancillary system. This ancillary system is directly coupled to a principal system of interest and induces the non-Markovian dynamics of the principal system. The noise channels in this augmented model carry disturbances. To reduce the effect of the disturbances on the estimation, we design a H∞ filter which can be obtained by solving a H∞ control problem.

AB - In this paper, we present a H∞ filter for estimating dynamics of a Lorentzian-noise-disturbed non-Markovian cavity system with disturbances. The non-Markovian cavity system can be represented by an augmented system, where the Lorentzian quantum noise is parameterized by an ancillary system. This ancillary system is directly coupled to a principal system of interest and induces the non-Markovian dynamics of the principal system. The noise channels in this augmented model carry disturbances. To reduce the effect of the disturbances on the estimation, we design a H∞ filter which can be obtained by solving a H∞ control problem.

KW - H control.

KW - H filtering

KW - Non-Markovian quantum systems

KW - Quantum colored noise

KW - Quantum filtering

UR - https://www.scopus.com/pages/publications/85044263416

U2 - 10.1016/j.ifacol.2017.08.1952

DO - 10.1016/j.ifacol.2017.08.1952

M3 - Article

SN - 2405-8963

VL - 50

SP - 13009

EP - 13013

JO - 20th IFAC World Congress

JF - 20th IFAC World Congress

IS - 1

ER -

H^∞ Filtering For An Optical Cavity System Disturbed By Lorentzian Quantum Noise

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