Separating Quantum and Classical Entropies: A unified treatment of quantum and classical information

Information in open quantum systems can be influenced by the presence of classical and quantum sources of uncertainty, complicating the quantification of the information encoded in such systems. By considering classical distributions on quantum state space, quantum and classical uncertainty can be separated, allowing for the simultaneous treatment of quantum (von Neumann) and classical (Shannon) entropies. In this presentation, a method for simultaneously quantifying quantum and classical entropies of quantum ensembles will be presented and the manner in which quantum operations (e.g. measurements and dynamical channels) transform one form of entropy into another will be discussed.