On classical and quantum liftings

Authors :: Accardi, L.
Chruściński, D.
Kossakowski, A.
Matsuoka, T.
Ohya, M.
Source :: Open Systems Inf. Dyn. 17, 361-387 (2010)
Publication Year :: 2011
Abstract: We analyze the procedure of lifting in classical stochastic and quantum systems. It enables one to `lift' a state of a system into a state of `system+reservoir'. This procedure is important both in quantum information theory and the theory of open systems. We illustrate the general theory of liftings by a particular class related to so called circulant states.<br />Comment: 25 pages