University of Copenhagen, August 22-26, 2022 (NEW DATES DUE TO COVID-19)

Recent years have seen tremendous progress towards building the first small scale quantum computers and quantum communication networks. Companies such as Google, IBM and Microsoft have identified these fields as focus of their investment into the future. With these developments expected to continue, it will soon become crucial to better understand the possibilities and limitations of quantum information processing in order to make good use of the provided hardware. A significant part of these efforts will have to go into quantum information theory, following the lead of traditional information theory which currently provides the main source for advances in information transmission, such as new codes for the next generation of wireless networks (5G and WIFI6). 

At the heart of classical and quantum information theory is the study of entropic quantities, as they provide us with a tool to quantify the amount of information present in a system. In particular, entropy inequalities allow us to investigate what happens when we process information and to relate different operational tasks. Their use has already let to security proofs in classical and quantum cryptography, new codes for near optimal information transmission and much more. Moreover, the study of entropic quantities provides us with a fundamental understanding of information, that will aid the development of future applications. 

In order to facilitate the understanding of these topics, this Masterclass will gather some of the top researchers in the field to communicate recent developments and open problems that still need to be overcome. 


Learning outcome

By the end of the course, the participants will have acquired an up-to-date overview of the latest work in these areas and should be prepared for further study as well as embarking on related research projects on their own.

Target group

This master class will be of high interest for all the students and early career researchers interested in properties, applications and future research directions involving entropic quantities and their use in Shannon theory, cryptography and information processing. 


Speakers include:

(More to be confirmed.)  

Teaching and learning methods

Lectures and exercise classes.


The master class will take place at the University of Copenhagen, Denmark. Copenhagen is a beautiful harbor city, famous for being among the safest and most enjoyable places to live in the world.
Participants of the master class will have the opportunity to explore the city from the water during an excursion. August is the second warmest month of the year in Copenhagen with about 14 hours of daylight


The master class is organized by the Villum Centre for the Mathematics of Quantum Theory (QMATH)  at the Department of Mathematical Sciences and the Niels Bohr International Academy (NBIA). From QMATH the organizers are:
Christoph Hirche
Albert H. Werner
Jan Philip Solovej
Matthias Christandl
Suzanne Andersen


The QMATH group is located at the MATH department in the H.C. Ørsted Institute across the park. Directions to the MATH department, and several other useful locations, can be found here.




We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers room with a kitchen. Another inexpensive option is CabInn, which has several locations in Copenhagen: Hotel CityHotel Scandivania, and Hotel Express. Somewhat more expensive, but still recommended, options are Hotel Nora and Ibsen's Hotel. PhD and Master's students have the possibility to apply for funded accommodation.


An on-line application is required to be able to participate in the master class.

The on-line application is now possible.

The application deadline is  July 12 2022

Participants will be selected on the basis of the applications. For PhD students, indicating the e-mail address of an academic supervisor is required, as well as a motivated explanation of the interest in the workshop. The master class is worth 2.5 ECTS.


Any questions about the master class can be directed to: QMATH@math.ku.dk