## Mathematical methods for quantum information

### Wintersemester 2016/17

Fridays 11-12, room 03.12.020.

### Objective

The goal of this reading group is to familiarize ourselves with a variety of mathematical methods applicable to problems in quantum information theory. The focus will be on recent developments in the field.

### Literature

- L. Gao, M. Junge, N. La Racuente: Capacity Estimates for TRO Channels
^{}, September 2016.
- M. Duell: Strengthened Reeh-Schlieder Property and Scattering in Quantum Field Theories without Mass Gaps
^{}, March 2016.
- I. Klep, S. Mc Cullough, K. Sivic and A. Zalar: There are many more positive maps than completely positive maps
^{}, November 2016.
- R. Chao, B. Reichardt, C. Sutherland and T. Vidick: Overlapping qubits
^{}, January 2017.

### List of talks

- 13.10. TRO channels (Daniel Stilck França)
- 21.10. Some Maths behind the 2016 Nobel Prize in Physics: Topological Order, Braid Group Statistics and Superselection Sectors (Prof. Michael Keyl), ExQM Seminar, MPQ B0.21, 11am
- 11.11. TRO channels continued (Daniel Stilck França)
- 2.12. Scattering of atoms and non-locality of the vacuum in QED (Maximilian Duell)
- 16.12. There are many more positive maps than completely positive maps (Andreas Bluhm)
- 12.1. P vs CP maps continued (Andreas Bluhm)
- 20.1. P vs CP maps completed (Andreas Bluhm)
- 27.1. Discussion of overlapping qubits
- 3.2. Landaure's principle for repeated interaction systems (Yan Pautrat, Universite Paris Sud)