Peer-Reviewed Journal Details
Mandatory Fields
Goswami, Debashish; Lindsay, J. Martin; Wills, Stephen J. ;
2001
January
Mathematische Annalen
A stochastic Stinespring theorem
Published
()
Optional Fields
Markovian cocycle, quantum stochastic, stochastic flow, completely positive, perturbation.
319
4
647
673
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.
0025-5831
https://doi-org.ucc.idm.oclc.org/10.1007/PL00004453
Grant Details