Information Theory & Cryptography
The group's research is in quantum information theory, with a focus on quantum Shannon theory and quantum cryptography. The former is about the general theory of information processing in the quantum setting, whereas the latter is more specifically about techniques for secure communication in the presence of malicious parties.
We are interested in the development and rigorous complexity analysis of quantum algorithms for the early fault-tolerance regime. Here, quantum processing units feature a limited number of logical qubits allowing to run small size digital schemes. The idea is to (i) allow for strong parallelization of quantum routines (ii) complement these quantum efforts with extensive use of classical pre- and post-processing, and (iii) avoid or minimize the use of QRAM.
Mathematics of Quantum Information
In our work we focus on the underlying mathematical methods, including in particular matrix analysis and optimization theory.