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dc.contributor.authorJ.W. Hall, Michaelen_US
dc.date.accessioned2017-05-03T16:06:09Z
dc.date.available2017-05-03T16:06:09Z
dc.date.issued2008en_US
dc.date.modified2012-03-06T05:48:13Z
dc.identifier.issn03054470en_US
dc.identifier.doi10.1088/1751-8113/41/20/205302en_US
dc.identifier.urihttp://hdl.handle.net/10072/42437
dc.description.abstractIt is shown that if the decoherence matrix corresponding to a qubit master equation has a block-diagonal real part, then the evolution is determined by a one-dimensional oscillator equation. Further, when the full decoherence matrix is block-diagonal, then the necessary and sufficient conditions for completely positive evolution may be formulated in terms of the oscillator Hamiltonian or Lagrangian. When the solution of the oscillator equation is not known, an explicit sufficient condition for complete positivity can still be obtained, based on a Hamiltonian/Lagrangian inequality. A rotational form-invariance property is used to characterize the evolution via a single first-order nonlinear differential equation, enabling some further exact results to be obtained. A class of master equations is identified for which complete positivity reduces to the simpler condition of positivity.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent173899 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_US
dc.publisherInstitute of Physics Publishingen_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom205302-1en_US
dc.relation.ispartofpageto205302-14en_US
dc.relation.ispartofissue20en_US
dc.relation.ispartofjournalJournal of Physics Aen_US
dc.relation.ispartofvolume41en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchMathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theoryen_US
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchcode010503en_US
dc.subject.fieldofresearchcode020603en_US
dc.titleComplete positivity for time-dependent qubit master equationsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2011 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.Please refer to the journal's website for access to the definitive, published version.en_US
gro.date.issued2008
gro.hasfulltextFull Text


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