A stochastic Stinespring theorem

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Date
2001
Authors
Goswami, Debashish
Lindsay, J. Martin
Wills, Stephen J.
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Volume Title
Publisher
Springer Nature Ltd.
Published Version
10.1007/PL00004453
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Abstract
Completely 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.
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Keywords
Markovian cocycle , Quantum stochastic , Stochastic flow , Completely positive , Perturbation , ~Mathematical Sciences- Journal Articles~
Citation
Goswami, D., Lindsay, J. M. and Wills, S. J. (2001) 'A stochastic Stinespring theorem', Mathematische Annalen, 319(4), pp. 647-673. doi: 10.1007/PL00004453
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https://hdl.handle.net/10468/14809
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School of Mathematical Sciences
Copyright
© 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