Random-walk approximation to vacuum cocycles

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Random-walk approximation to vacuum cocycles

Quantum random walks are constructed on operator spaces using the concept of matrix-space lifting, a form of ampliation intermediate between those given by spacial and ultraweak tensor products. It is shown that these walks, after suitable scaling, converge in a strong sense to vacuum cocycles, certain vacuum-adapted processes which are Feller cocycles in the sense of Lindsay and Wills. This re...

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ژورنال

عنوان ژورنال: Journal of the London Mathematical Society

سال: 2010

ISSN: 0024-6107

DOI: 10.1112/jlms/jdp075