Contact Information
341B Illini Hall
1409 West Green Street
MC 382
Urbana, IL 61801
Research Areas
Biography
I grew up in Vienna, Austria. After studying Mathematics and Physics at the University of Vienna from 2006-2013, I obtained my PhD in Mathematics from the University of Cambridge in 2017. I was a Postdoctoral Research Associate at JILA, University of Colorado Boulder from 2016-2019, and a Joint Postdoctoral Fellow at the Institute for Quantum Computing, University of Waterloo and the Perimeter Institute for Theoretical Physics from 2019-2020. In January 2021 I joined the Department of Mathematics at UIUC as an Assistant Professor. My research focuses on quantum information theory.
Research Interests
Mathematical and computational aspects of quantum information theory
Research Description
I study mathematical and computational aspects of quantum information theory. In particular, I am interested in the following topics:
- Quantum channels and their various capacities
- Additivity problems
- Multipartite entanglement
- Stabilizer formalism, in particular graph states
- Teleportation protocols
- Entropic quantities and their properties (see my PhD thesis)
- Second order asymptotics
- Classical and quantum network information theory
To study these topics, I use tools from representation theory and group theory, matrix analysis, convex optimization (in particular semidefinite programming), global optimization, and machine learning.
Education
PhD, University of Cambridge, 2017
Recent Publications
- Christandl, M., Leditzky, F., Majenz, C., Smith, G., Speelman, F., Walter, M. (2020). Asymptotic Performance of Port-based Teleportation. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-020-03884-0, arXiv:1809.10751
- Leditzky, F., Alhejji, M., Levin, J., Smith, G. (2020). Playing Games with Multiple Access Channels. Nature Communications 11, 1497. https://doi.org/10.1038/s41467-020-15240-w, arXiv:1909.02479
- Bausch, J., Leditzky, F. (2020). Quantum Codes from Neural Networks. New Journal of Physics 22, 023005. https://doi.org/10.1088/1367-2630/ab6cdd, arXiv:1806.08781