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Article: Robust incoherent control of qubit systems via switching and optimisation

TitleRobust incoherent control of qubit systems via switching and optimisation
Authors
KeywordsIncoherent Control
Optimal Control
Projective Measurement
Quantum Control
Qubit System
Switching Control
Issue Date2010
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
Citation
International Journal Of Control, 2010, v. 83 n. 1, p. 206-217 How to Cite?
AbstractA robust incoherent quantum control scheme via projective measurements plus unitary transformations is proposed for driving a qubit system from an unknown initial mixed state to an arbitrary target pure state. This scheme consists of two main steps: projective measurement on the initial mixed state and optimal control between two pure states. The first step projects the initial state into an eigenstate of the qubit system by projective measurement and guarantees that the proposed scheme is robust to different initial mixed states. The second step finds a set of suitable optimal controls to drive the qubit system from the conditional eigenstate to the target pure state. The connection between the two steps is accomplished by a switching strategy. To accomplish the second step, two approaches are presented in detail. These approaches are time-optimal transition with unbounded control and bang-bang control with minimal switches. The minimal time and minimal number of switches in these approaches can be calculated by simple analytical expressions. The proposed approaches provide two relatively straightforward optimal design methods.
Persistent Identifierhttp://hdl.handle.net/10722/157039
ISSN
2015 Impact Factor: 1.88
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation60703083
HKUCRCG 10400030
Funding Information:

The authors would like to thank three anonymous reviewers for helpful comments which have improved the readability of this article. D. Dong would also like to thank Bo Qi, Hao Pan and Jianwu Wu for helpful suggestions. This work was supported by the Australian Research Council and was supported in part by the National Natural Science Foundation of China under Grant No. 60703083 and HKU CRCG 10400030.

References

 

DC FieldValueLanguage
dc.contributor.authorDong, Den_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorPetersen, IRen_US
dc.date.accessioned2012-08-08T08:45:03Z-
dc.date.available2012-08-08T08:45:03Z-
dc.date.issued2010en_US
dc.identifier.citationInternational Journal Of Control, 2010, v. 83 n. 1, p. 206-217en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/157039-
dc.description.abstractA robust incoherent quantum control scheme via projective measurements plus unitary transformations is proposed for driving a qubit system from an unknown initial mixed state to an arbitrary target pure state. This scheme consists of two main steps: projective measurement on the initial mixed state and optimal control between two pure states. The first step projects the initial state into an eigenstate of the qubit system by projective measurement and guarantees that the proposed scheme is robust to different initial mixed states. The second step finds a set of suitable optimal controls to drive the qubit system from the conditional eigenstate to the target pure state. The connection between the two steps is accomplished by a switching strategy. To accomplish the second step, two approaches are presented in detail. These approaches are time-optimal transition with unbounded control and bang-bang control with minimal switches. The minimal time and minimal number of switches in these approaches can be calculated by simple analytical expressions. The proposed approaches provide two relatively straightforward optimal design methods.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.aspen_US
dc.relation.ispartofInternational Journal of Controlen_US
dc.subjectIncoherent Controlen_US
dc.subjectOptimal Controlen_US
dc.subjectProjective Measurementen_US
dc.subjectQuantum Controlen_US
dc.subjectQubit Systemen_US
dc.subjectSwitching Controlen_US
dc.titleRobust incoherent control of qubit systems via switching and optimisationen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1080/00207170903124677en_US
dc.identifier.scopuseid_2-s2.0-72549106483en_US
dc.identifier.hkuros179608-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-72549106483&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume83en_US
dc.identifier.issue1en_US
dc.identifier.spage206en_US
dc.identifier.epage217en_US
dc.identifier.isiWOS:000272679900014-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridDong, D=8531030400en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridPetersen, IR=7102215260en_US

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