Foreword to 2nd English edition.- Foreword to 2nd Russian edition.- Preface.- Chapters: I. Statistical Models.- II. Mathematics of Quantum Theory.- III. Symmetry Groups in Quantum Mechanics.- IV.… Expand

It is shown that the capacity of a classical-quantum channel with arbitrary (possibly mixed) states equals the maximum of the entropy bound with respect to all a priori distributions. This completes… Expand

The course presents some basic concepts and rigorous results of a new scientiflc discipline { quantum information theory. It starts with a thorough reconsideration of the mathematical foundations of… Expand

We show how to compute or at least to estimate various capacity-related quantities for bosonic Gaussian channels. Among these are the coherent information, the entanglement-assisted classical… Expand

A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured… Expand

This book gives an accessible, albeit mathematically rigorous and self-contained introduction to quantum information theory, starting from primary structures and leading to fundamental results and to exiting open problems.Expand

Bounds for the reliability function of a quantum pure state channel are given and an alternative proof of the coding theorem for quantum noiseless channel is suggested, which would make no use of the notion of typical subspace.Expand

The Gaussian minimum entropy conjecture—a long-standing open question—has now been proved for single-mode phase-insensitive bosonic Gaussian channels. This establishes the ultimate achievable bit… Expand