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Coherent quantum LQG control

Nurdin, Hendra; James, Matthew; Petersen, Ian R

Description

Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum system and the plant output signal can be fully quantum. Such a control scheme is often referred to in the quantum control literature as "coherent feedback control". It distinguishes the present work from previous works on the quantum LQG problem where...[Show more]

dc.contributor.authorNurdin, Hendra
dc.contributor.authorJames, Matthew
dc.contributor.authorPetersen, Ian R
dc.date.accessioned2015-12-07T22:30:28Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/22331
dc.description.abstractBased on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum system and the plant output signal can be fully quantum. Such a control scheme is often referred to in the quantum control literature as "coherent feedback control". It distinguishes the present work from previous works on the quantum LQG problem where measurement is performed on the plant and the measurement signals are used as the input to a fully classical controller with no quantum degrees of freedom. The difference in our formulation is the presence of additional non-linear and linear constraints on the coefficients of the sought after controller, rendering the problem as a type of constrained controller design problem. Due to the presence of these constraints, our problem is inherently computationally hard and this also distinguishes it in an important way from the standard LQG problem. We propose a numerical procedure for solving this problem based on an alternating projections algorithm and, as an initial demonstration of the feasibility of this approach, we provide fully quantum controller design examples in which numerical solutions to the problem were successfully obtained. For comparison, we also consider the case of classical linear controllers that use direct or indirect measurements, and show that there exists a fully quantum linear controller which offers an improvement in performance over the classical ones.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.subjectKeywords: Alternating projections; Classical controllers; Control schemes; Controller designs; Degrees of freedom; Indirect measurements; Linear constraints; Linear controllers; Linear quadratic regulators; Linear stochastic system; LQG control; Non-linear; Numeric Linear control systems; Linear quadratic regulators; Quantum control; Quantum systems; Stochastic control
dc.titleCoherent quantum LQG control
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume45
dc.date.issued2009
local.identifier.absfor090699 - Electrical and Electronic Engineering not elsewhere classified
local.identifier.ariespublicationu4137410xPUB21
local.type.statusPublished Version
local.contributor.affiliationNurdin, Hendra, College of Engineering and Computer Science, ANU
local.contributor.affiliationJames, Matthew, College of Engineering and Computer Science, ANU
local.contributor.affiliationPetersen, Ian R, University of New South Wales
local.description.embargo2037-12-31
local.bibliographicCitation.issue8
local.bibliographicCitation.startpage1837
local.bibliographicCitation.lastpage1846
local.identifier.doi10.1016/j.automatica.2009.04.018
dc.date.updated2016-02-24T10:37:13Z
local.identifier.scopusID2-s2.0-67649607487
local.identifier.thomsonID000268651300006
CollectionsANU Research Publications

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