Resources for Quantum Communication

A mathematically developed and operationally meaningful quantum infor-
mation theory is an important building block for future quantum communication
technologies. As in classical information theory, a Shannon-type theory turns
out to be a suitable framework. The objective of our research activities is a
quantitative understanding of the role of several classical and quantum com-
munication resources as well as the interrelations between them. This is done by
considering certain communication scenarios (e.g. quantum state merging) and
protocols which achieve optimal rates in these situations. Moreover, a generalization of these extremely idealized models to more realistic ones (with uncertain-
ties regarding states and channels) is of interest.

Literatur

• Universal quantum state merging, I. Bjelaković, H. Boche, and G. Janßen, Journal of Mathematical Physics vol. 54, 032204, 2013.
  Preprint available at www.arxiv.org
• Resource Cost Results for One-Way Entanglement Distillation and State Merging of Compound and Arbitrarily Varying Quantum Sources, H. Boche, G. Janßen, Journal of Mathematical Physics vol 55, 082208 (2014). Preprint available at www.arxiv.org