A stochastic Stinespring theorem

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dc.contributor.authorGoswami, Debashish
dc.contributor.authorLindsay, J. Martin
dc.contributor.authorWills, Stephen J.
dc.contributor.funderIndian National Board for Higher Mathematics
dc.contributor.funderDepartment of Atomic Energy, Government of India
dc.contributor.funderIndian National Science Academy
dc.contributor.funderRoyal Society
dc.date.accessioned2023-08-10T09:34:44Z
dc.date.available2023-07-26T10:17:46Zen
dc.date.available2023-08-10T09:34:44Z
dc.date.issued2001-01en
dc.date.updated2023-07-26T09:17:47Zen
dc.description.abstractCompletely positive Markovian cocycles on a von Neumann algebra, adapted to a Fock filtration, are realised as conjugations of ∗-homomorphic Markovian cocycles. The conjugating processes are affiliated to the algebra, and are governed by quantum stochastic differential equations whose coefficients evolve according to the ∗-homomorphic process. Some perturbation theory for quantum stochastic flows is developed in order to achieve the above Stinespring decomposition.
dc.description.sponsorshipIndian National Science Academy/Royal Society (Exchange Fellowship)
dc.description.statusPeer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationGoswami, D., Lindsay, J. M. and Wills, S. J. (2001) 'A stochastic Stinespring theorem', Mathematische Annalen, 319(4), pp. 647-673. doi: 10.1007/PL00004453
dc.identifier.doi10.1007/PL00004453
dc.identifier.eissn1432-1807
dc.identifier.endpage673
dc.identifier.issn0025-5831
dc.identifier.issued4
dc.identifier.journaltitleMathematische Annalen
dc.identifier.startpage647
dc.identifier.urihttps://hdl.handle.net/10468/14809
dc.identifier.volume319
dc.language.isoenen
dc.publisherSpringer Nature Ltd.
dc.rights© 2000, Springer-Verlag. This is a post-peer-review, pre-copyedit version of an article published in Mathematische Annalen. The final authenticated version is available online at: https://doi.org/10.1007/PL00004453
dc.subjectMarkovian cocycle
dc.subjectQuantum stochastic
dc.subjectStochastic flow
dc.subjectCompletely positive
dc.subjectPerturbation
dc.titleA stochastic Stinespring theoremen
dc.typeArticle (peer-reviewed)
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