On classical and quantum liftings

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.

25 pages

References in corpus (6)

• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Completely Positive Maps and Classical Correlations
• Bound entanglement in the magic simplex of two--qutrits
• On circulant states with positive partial transpose
• A class of positive atomic maps
• Generalized Circulant Densities and a Sufficient Condition for Separability