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 and 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 (arXiv)
• 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)