# Research

We work on quantum information and its interplay with other branches of computer science, mathematics, and theoretical physics.

In our research we are particularly interested in exploring the implications of quantum mechanics on the theory of computing, by designing new algorithms and protocols for quantum computers and obtaining fundamental insight into their computational complexity.
Quantum computers do not simply compute faster, but they operate *unlike any ordinary “classical” computer* - this requires completely new ideas.

In addition, we investigate interdisciplinary applications of quantum information to problems in other areas of computer science, mathematics, and theoretical physics. Quantum information often suggests new perspectives and innovative approaches. For example, tensors describe not only abstract quantum information, but also high-dimensional “big data” in statistics or machine learning, complexity classes in theoretical computer science, and the state of quantum materials or even space-time itself. In our research we apply ideas from quantum information to all these areas.

We are part of the **CASA** Cluster of Excellence and the **Horst Görtz Institute**. We are supported by the ERC through an **ERC Starting Grant** “Symmetry and Optimization at the Frontiers of Computation” (SYMOPTIC), by the BMBF through the consortium project **QuBRA**, and by an NWO OC ENW-KLEIN grant.
Previously, we were supported by an NWO Veni grant and an NWA Startimpuls project (joint with S. Wehner at QuTech).

#### Research Directions

- Quantum Information, Algorithms, Complexity, Software
- Theoretical Computer Science, Optimization
- Representation Theory, Invariant Theory, Symplectic Geometry