Abstract for the talk at 26.11.2013 (15:30 h)Special Seminar
Anna Jenčová (Slovak Academy of Sciences, Bratislava, Slovakia)
Base norms and discrimination of generalized quantum channels
We introduce and study norms in the space of hermitian matrices, obtained from base norms in positively generated subspaces. These norms are closely related to discrimination of so-called generalized quantum channels, including quantum states, channels and networks. We further introduce generalized quantum decision problems and show that the maximal average payoff of decision procedures is again given by these norms. We also study optimality of decision procedures.