The problem of discriminating between many quantum channels with certainty is analyzed
under the assumption of prior knowledge of algebraic relations among possible channels. It …

Finite tight frames are used widely for many applications. An important problem is to
construct finite tight frames containing specified elements as needed in real world …

The study of quantum algorithms is stymied by a lack of human intuition—many of these
algorithms appear to rely on non-intuitive attributes unique to quantum mechanics, and as …

Abstract The well-known Mercedes-Benz frames in R d are known to exist and they have
been constructed too. They are presented here as an external direct sum of a pair of …

Abstract The well-known Mercedes-Benz frames in ℝd are known to exist and they have
been constructed too. They are presented here as an external direct sum of a pair of …

The dissertation takes and puts into practice the analysis of different types of frames as it
develops within the theoretical framework of frame theory. The significant role of frames and …