Decentralized coherent quantum control design for translation invariant linear quantum stochastic networks with direct coupling

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Abstract

This paper is concerned with coherent quantum control design for translation invariant networks of identical quantum stochastic systems subjected to external quantum noise. The network is modelled as an open quantum harmonic oscillator and is governed by a set of linear quantum stochastic differential equations. The dynamic variables of this quantum plant satisfy the canonical commutation relations. Similar large-scale systems can be found, for example, in quantum metamaterials and optical lattices. The problem under consideration is to design a stabilizing decentralized coherent quantum controller in the form of another translation invariant quantum system, directly coupled to the plant, so as to minimize a weighted mean square functional of the dynamic variables of the interconnected networks. We consider this problem in the thermodynamic limit of infinite network size and present first-order necessary conditions for optimality of the controller.

Original languageEnglish
Title of host publication2015 Australian Control Conference, AUCC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages312-317
Number of pages6
ISBN (Electronic)9781922107695
Publication statusPublished - 21 Dec 2015
Externally publishedYes
Event5th Australian Control Conference, AUCC 2015 - Gold Coast, Australia
Duration: 5 Nov 20156 Nov 2015

Publication series

Name2015 Australian Control Conference, AUCC 2015

Conference

Conference5th Australian Control Conference, AUCC 2015
Country/TerritoryAustralia
CityGold Coast
Period5/11/156/11/15

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