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An efficient computational method for the optimal control of higher dimensional quantum systems

Sridharan, Srinivas; Gu, Mile; James, Matthew; McEneaney, W M

Description

The process of obtaining solutions to optimal control problems via mesh based techniques suffers from the well known problem of the curse of dimensionality. This issue is especially severe in quantum systems whose dimensions grow exponentially with the number of interacting elements (qubits) that they contain. In this article we develop a modification of recently introduced curse-of-dimensionality-free max-plus techniques, to the control of quantum systems. This method yields a more manageable...[Show more]

dc.contributor.authorSridharan, Srinivas
dc.contributor.authorGu, Mile
dc.contributor.authorJames, Matthew
dc.contributor.authorMcEneaney, W M
dc.coverage.spatialAtlanta USA
dc.date.accessioned2015-12-10T22:58:19Z
dc.date.createdDecember 15-17 2010
dc.identifier.isbn9781424477449
dc.identifier.urihttp://hdl.handle.net/1885/60802
dc.description.abstractThe process of obtaining solutions to optimal control problems via mesh based techniques suffers from the well known problem of the curse of dimensionality. This issue is especially severe in quantum systems whose dimensions grow exponentially with the number of interacting elements (qubits) that they contain. In this article we develop a modification of recently introduced curse-of-dimensionality-free max-plus techniques, to the control of quantum systems. This method yields a more manageable growth that is related to the cardinality of the control set. Its efficacy is demonstrated by obtaining an approximate solution to a previously intractable problem on a 2 qubit system.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesIEEE Conference on Decision and Control 2010
dc.sourceIEEE Conference on Decision and Control 2010 Proceedings
dc.subjectKeywords: Approximate solution; Cardinalities; Control set; Curse of dimensionality; Higher-dimensional; Interacting elements; Optimal control problem; Optimal controls; Quantum system; Qubit system; Control; Optimization; Quantum optics; Quantum electronics
dc.titleAn efficient computational method for the optimal control of higher dimensional quantum systems
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2010
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationu4334215xPUB564
local.type.statusPublished Version
local.contributor.affiliationSridharan, Srinivas, College of Engineering and Computer Science, ANU
local.contributor.affiliationGu, Mile, National University of Singapore
local.contributor.affiliationJames, Matthew, College of Engineering and Computer Science, ANU
local.contributor.affiliationMcEneaney, W M, University of California
local.description.embargo2037-12-31
local.bibliographicCitation.startpage2996
local.bibliographicCitation.lastpage3001
local.identifier.doi10.1109/CDC.2010.5717167
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2016-02-24T11:01:57Z
local.identifier.scopusID2-s2.0-79953157634
CollectionsANU Research Publications

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