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dc.contributor.authorHall, Michael JW
dc.date.accessioned2017-05-03T16:06:09Z
dc.date.available2017-05-03T16:06:09Z
dc.date.issued2008
dc.date.modified2012-03-06T05:48:13Z
dc.identifier.issn1751-8113
dc.identifier.doi10.1088/1751-8113/41/20/205302
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.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent173899 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics Publishing
dc.publisher.placeUnited Kingdom
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom205302-1
dc.relation.ispartofpageto205302-14
dc.relation.ispartofissue20
dc.relation.ispartofjournalJournal of Physics A
dc.relation.ispartofvolume41
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchMathematical aspects of classical mechanics, quantum mechanics and quantum information theory
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum information, computation and communication
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode490203
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode510803
dc.titleComplete positivity for time-dependent qubit master equations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 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.
gro.date.issued2008
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


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