A self-contained set of notes re-derives the Kraus and Lindblad representations of quantum operations using a basis-free Jamiołkowski transform and a new infinite-dimensional topology.
Conway,A course in operator theory, Graduate Studies in Mathematics, vol
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Notes on completely positive maps and continuous-time Markovian CP evolution. A geometry-flavored perspective
A self-contained set of notes re-derives the Kraus and Lindblad representations of quantum operations using a basis-free Jamiołkowski transform and a new infinite-dimensional topology.