Igor Devetak

Quantum Shannon Theory: Overview and Recent Results

Quantum Shannon theory (QST) comprises various asymptotic quantum information proc essing problems, such as quantum compression, quantum channel coding, entanglement assisted communication and entanglement distillation. We adopt a view of QST as a quantitative theory of interconversion between information processing resources. In this formalism, each coding theorem corresponds to an _inequality_ between resources. This talk reviews the recent progress in QST, culminating in entropic solutions to the problem of interconverting noiseless one-way quantum communication, classical communication and entanglement in the presence of a noisy bipartite state or channel, thus unifying a large class of previously known results in the field. We shall also see classical and quantum examples of noisy resource _equalities_ involving feedback channels.