H∞ filter design for quantum stochastic systems

Meng Xiangyu; Lam James; Gao Huijun

doi:10.1109/CHICC.2008.4605632

H_∞ filter design for quantum stochastic systems

Meng Xiangyu^*
, Lam James
, Gao Huijun

^*Corresponding author for this work

School of Astronautics

The University of Hong Kong
Harbin Institute of Technology

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

2 Scopus citations

Abstract

This paper is concerned with the H_∞ filtering problem for a class of noncommutative linear stochastic systems, among which quantum technology has been well recognized to be a typical example. A new structure of slack variables is introduced to solve the H_∞ filtering problem which gives a sufficient condition for the existence of desired H _∞ filters for quantum systems in terms of linear matrix inequalities (LMIs). Two examples from quantum optics are given to show the effectiveness of the proposed approach.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	525-529
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2008.4605632
State	Published - 2008
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan, China Duration: 16 Jul 2008 → 18 Jul 2008

Publication series

Name	Proceedings of the 27th Chinese Control Conference, CCC

Conference

Conference	27th Chinese Control Conference, CCC
Country/Territory	China
City	Kunming, Yunnan
Period	16/07/08 → 18/07/08

Keywords

H filtering
Quantum control theory
Quantum optics

Access to Document

10.1109/CHICC.2008.4605632

Cite this

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title = "H∞ filter design for quantum stochastic systems",

abstract = "This paper is concerned with the H∞ filtering problem for a class of noncommutative linear stochastic systems, among which quantum technology has been well recognized to be a typical example. A new structure of slack variables is introduced to solve the H∞ filtering problem which gives a sufficient condition for the existence of desired H ∞ filters for quantum systems in terms of linear matrix inequalities (LMIs). Two examples from quantum optics are given to show the effectiveness of the proposed approach.",

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AB - This paper is concerned with the H∞ filtering problem for a class of noncommutative linear stochastic systems, among which quantum technology has been well recognized to be a typical example. A new structure of slack variables is introduced to solve the H∞ filtering problem which gives a sufficient condition for the existence of desired H ∞ filters for quantum systems in terms of linear matrix inequalities (LMIs). Two examples from quantum optics are given to show the effectiveness of the proposed approach.

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