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Sponsors

Pauli Center for Theoretical Studies

The Swiss National Science Foundation

ETH Zurich (Computer Science and Physics Department)

Quantum Science and Technology

CQT Singapore

QAP European Project

Sandia National Laboratories

Institute for Quantum Computing

id Quantique

Additivity of channel capacities

Pawel Horodecki, Gdansk University of Technology

In the introduction of this tutorial review the general additivity problem will be defined in terms of quantum resources. Early illuminative examples of superadditivity of quantum resources in terms of entanglement calledactivation and superactivation effects will be explained.

Then the additivity problem for channel capacity will be defined. Special examples of channels important in this context will be discussed. Some of the superadditivity results provided recently by numerous authors in the quantum communication field for chosen channel capacities will be explained and discussed.

Some remaining open additivity problems will be discussed.