Research
The group works on the interface between quantum mechanics and other areas of applied mathematics.
Our main emphasis lies on the application of rigorous mathematical methods to problems in quantum information theory and many-body theory.
Conversely, we aim to use methods originating in quantum physics to classical problems, e.g. in machine learning theory.
featured publications
| data analysis using sparse and low-rank representations; compressed sensing. | Recovering low-rank matrices from few coefficients in any basis A partial derandomization of PhaseLift using spherical designs |
| mathematical physics | Index theory of one dimensional quantum walks and cellular automata |
quantum computation and quantum information | Measurement-based quantum computation beyond the one-way model Entanglement Polytopes |
causal analysis
| Inferring latent structures via information inequalities Information-Theoretic Implications of Quantum Causal Structures |
| foundations of quantum mechanics | Local orthogonality: a multipartite principle for correlations All reversible dynamics in maximally non-local theories are trivial |
| foundations of stat. mech. | Truly work-like work extraction via a single-shot analysis J. Aberg Nat. Comm. 4, 1925 (2013) (arXiv) |
| experimental collaborations | Probing the negative Wigner function of a pulsed single photon point by point K. Laiho, K. Cassemiro, D. Gross, C. Silberhorn Phys. Rev. Lett. 105, 253603 (2010) (arXiv ) Permutationally invariant quantum tomography G. Toth, W. Wieczorek, D. Gross, R. Krischek, C. Schwemmer, H. Weinfurter Phys. Rev. Lett. 105, 250403 (2010) (arXiv) |
Ade & Alaaf: The Group is Moving to Cologne