Warner, Garth2009-12-232009-12-232009-12-23http://hdl.handle.net/1773/15549These notes provide a systematic account of certain aspects of the statistical structure of quantum theory. Here the all prevailing notion is that of a completely positive map and Stinespring's famous characterization thereof. I have also included a systematic treatment of "quantum dynamical semigroups," culminating in Lindblad's celebrated description of their generators.en-USpositivity, quantum dynamical semigroups, quantum theory, LindbladBook