Learn More
In this paper we consider the transmission of classical information through a class of quantum channels with long-term memory, which are given by convex combinations of product channels. Hence, the memory of such channels is given by a Markov chain which is aperiodic but not irreducible. We prove the coding theorem and weak converse for this class of(More)
In this paper, a quantum version of Feinstein's theorem is developed. This is then used to give a completely self-contained proof of the direct channel coding theorem, for transmission of classical information through a quantum channel with Markovian correlated noise. Our proof does not rely on the Holevo-Schumacher-Westmoreland (HSW) theorem. In addition,(More)
We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in [1]. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz, Raggio and Verbeure [2] and could similarly be extended to more general Bose system of mean-field type. We apply(More)
The classical capacity of a quantum channel with arbitrary Marko-vian correlated noise is evaluated. For an irreducible and aperiodic Markov Chain, the channel is forgetful, and one retrieves the known expression [15] for the capacity. For the more general case of a channel with long-term memory, which corresponds to a Markov chain which does not converge(More)
In this paper we evaluate the entanglement assisted classical capacity of a class of quantum channels with long-term memory, which are convex combinations of memoryless channels. The memory of such channels can be considered to be given by a Markov chain which is aperiodic but not irreducible. This class of channels was introduced in [7], where its product(More)
Life and career (by Boele Braaksma) Erik Thomas studied mathematics at the University of Paris, where in 1969 he obtained his PhD on the thesis L'intégration par rapport à une mesure de Radon vectorielle published in Annales de l'Institut Fourier [1]. His advi-sor was Laurent Schwartz, a Fields medalist, whose best known achievement is the foundation of the(More)
  • 1