Completely positive quantum stochastic convolution cocycles and their dilations.

Skalski, Adam G. (2007) Completely positive quantum stochastic convolution cocycles and their dilations. Mathematical Proceedings of the Cambridge Philosophical Society, 143 (1). pp. 201-219. ISSN 1469-8064

Preview

PDF (1.pdf)
1.pdf
Download (168kB)

Abstract

Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C*-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on a C*-bialgebra.