On Classical and Quantum Liftings
Luigi Accardi, Dariusz Chruściński, Andrzej Kossakowski, Takahiro Matsuoka, M. Ohya · Open Systems & Information Dynamics · 2010
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.