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
D. Gross
IEEE Trans. on Information Theory 57, 1548 (2011) (arXiv)

A partial derandomization of PhaseLift using spherical designs
D. Gross, F. Krahmer, R. Kueng
Journal of Fourier Analysis and Applications 21, 229 - 266 (arXiv)
mathematical physics Index theory of one dimensional quantum walks and cellular automata
D. Gross, V. Nesme, H. Vogts, R.F. Werner
Commun. Math. Phys. 310, 419-454 (2012) (arXiv)

Hudson's Theorem for finite-dimensional quantum systems
D. Gross
J. Math. Phys. 47, 122107 (2006) (arXiv)
quantum computation


quantum information
Measurement-based quantum computation beyond the one-way model
D. Gross, J. Eisert, N. Schuch, and D. Perez-Garcia
Phys. Rev. A 76, 052315 (2007) (arXiv)

Entanglement Polytopes
M. Walter, B. Doran, D. Gross, M. Christandl
Science 340, 6137 (2013) (arXiv)
causal analysis Inferring latent structures via information inequalities
R. Chaves, L. Luft, T. O. Maciel, D. Gross, D. Janzing,
B. Schölkopf
Proceedings of the 30th Conference on Uncertainty in Artificial
Intelligence (UAI 2014), pp. 112 - 121, AUAI Press

Information-Theoretic Implications of Quantum Causal Structures
R. Chaves, C. Majenz, D. Gross
Nature Communications 6, 5766 (arXiv)
foundations of quantum mechanics Local orthogonality: a multipartite principle for correlations
T. Fritz, B. Sainz, R. Augusiak, J. B. Brask, R. Chaves
A. Leverrier, A, Acin
Nat. Comm. 4, 3263 (2013) (arXiv)

All reversible dynamics in maximally non-local theories are trivial
D. Gross, M. Mueller, R. Colbeck, and O. Dahlsten
Phys. Rev. Lett. 104, 080402 (2010) (arXiv)
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)