Group Publications

The list contains publications by the group since it was first established in 2012. For individual publication lists, please refer to the our respective personal sites.


  1. Experimental Entanglement of Temporal Orders
    G. Rubino, L.A. Rozema, F. Massa, M. Araujo, M. Zych, C. Brukner, P. Walther
  2. Complete homotopy invariants for translation symmetric quantum walks on a chain
    C. Cedzich, T. Geib. C. Stahl, L. Velazquez, A.H. Werner, R.F. Werner
  3. Real Randomized Benchmarking
    A.K. Hashagen, S.T. Flammia, D. Gross, J.J. Wallman
  4. Robustness of Magic and Symmetries of the Stabilizer Polytope
    M. Heinrich, D. Gross
  5. Quantum Walks in External Gauge Fields
    C. Cedzich, T. Geib, A.H. Werner, R.F. Werner
  6. Recovering quantum gates from few average gate fidelities
    I. Roth, R. Kueng, S. Kimmel, Y.-K. Liu, D.Gross, J. Eisert, M. Kliesch
  7. Probability in Two Deterministic Universes
    M. Araujo
  8. Computational tools for solving a marginal problem with applications in Bell non-locality and causal modeling
    T. Glaessle, D. Gross, R. Chaves
  9. Generalized Pauli Constraints in Small Atoms
    C. Schilling, M. Altunbulak, S. Knecht, A. Lopes, J.D. Whitfield, M. Christandl, D. Gross, M. Reiher
  10. Fully Quantum Fluctuation Theorems
    J. Aberg


  1. Quantum Computation with Indefinite Causal Structures
    M. Araujo, P.A. Guerin, Amin Baumeler
  2. A purification postulate for quantum mechanics with indefinite causal order
    M. Araujo, A. Feix, M. Navascues, C. Brukner
  3. mpnum: A matrix product representation library for Pyhton
    D. Suess, M. Holzäpfel
  4. Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
    D. Gross, S. Nezami, M. Walter
  5. From estimation of quantum probabilities to simulation of quantum circuits
    H. Pashayan, S. D. Bartlett, D. Gross
  6. On products of Gaussian random variables
    Ž. Stojanac, D. Suess, M. Kliesch
  7. On the distribution of a product of N Gaussian random variables
    Ž. Stojanac, D. Suess, M. Kliesch
  8. Guaranteed recovery of quantum processes from few measurements
    M. Kliesch, R. Kueng, J. Eisert, D. Gross
  9. Semidefinite tests for latent causal structures
    A. Kela, K. von Prillwitz, J. Aberg, R. Chaves, D. Gross
  10. Experimental quantum compressed sensing for a seven-qubit system
    C. A. Riofrio, D. Gross, S. T. Flammia, T. Monz, D. Nigg, R. Blatt, J. Eisert
  11. Improved Recovery Guarantees for Phase Retrieval from Coded Diffraction Patterns
    D. Gross, F. Krahmer, R. Kueng


  1. Introducing the Qplex: A Novel Arena for Quantum Theory
    M. Appleby, C. A. Fuchs, B. C. Stacey, H. Zhu
  2. Note on the saturation of the norm inequalities between diamond and nuclear norm
    U. Michel, M. Kliesch, R. Kueng, D. Gross
  3. Multi-partite entanglement
    M. Walter, D. Gross, J. Eisert
  4. Low rank matrix recovery from Clifford orbits
    R. Kueng, H. Zhu, D. Gross
  5. Experimental non-locality in a quantum network
    G. Carvacho, F. Andreoli, L. Santodonato, M. Bentivegna, R. Chaves, F. Sciarrino
  6. Distinguishing quantum states using Clifford orbits
    R. Kueng, H. Zhu, D. Gross
  7. The Clifford group fails gracefully to be a unitary 4-design
    H. Zhu, R. Kueng, M. Grassl, D. Gross
  8. Explaining quantum correlations through evolution of causal models
    R. Harper, R. J. Chapman, C. Ferrie, C. Granade, R. Kueng, D. Naoumenko, S. T. Flammia, A. Peruzzo
  9. Error regions in quantum state tomography: computational complexity caused by geometry of quantum states
    D. Suess, L. Rudnicki, T.O. Maciel, D. Gross
  10. Bell scenarios with communication
    J. B. Brask, R. Chaves
  11. Causal hierarchy of multipartite Bell nonlocality
    R. Chaves, D. Cavalcanti, L. Aolita
  12. Quasiprobability representations of quantum mechanics with minimal negativity
    H. Zhu
  13. Robust Nonnegative Sparse Recovery and the Nullspace Property of 0/1 Measurements
    R. Kueng, P. Jung
  14. Nonlinear Schrödinger equation from generalized exact uncertainty principle
    Ł. Rudnicki
  15. Fully quantum fluctuation theorems
    J. Aberg
  16. Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
    Q. Quan, H. Zhu, H. Fan, W.-L. Yang
  17. Indistinguishability of causal relations from limited marginals
    C. Budroni, N. Miklin, R. Chaves
  18. Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference
    D. Janzing, R. Chaves, B. Schoelkopf
  19. Experimental Test of Nonlocal Causality
    M. Ringbauer, C. Giarmatzi, R. Chaves, F. Costa, A. G. White, A. Fedrizzi
  20. Comparing Experiments to the Fault-Tolerance Threshold
    R. Kueng, D. M. Long, A. C. Doherty, S. T. Flammia
  21. Entropic nonsignaling correlations
    R. Chaves, C. Budroni
  22. Stable low-rank matrix recovery via null space properties
    M. Kabanava, R. Kueng, H. Rauhut, U. Terstiege
    To appear in Information and Inference (2016); (arXiv pre-print)
  23. Improving compressed sensing with the diamond norm
    M. Kliesch, R. Kueng, J. Eisert, D. Gross
  24. Steering Bell-diagonal states
    Q. Quan, H. Zhu, S.-Y. Liu, S.-M. Fei, H. Fan, W.-L. Yang
  25. Uncertainty relations for characteristic functions
    Łukasz Rudnicki, D. S. Tasca, S. P. Walborn
  26. Universal steering inequalities
    H. Zhu, M. Hayashi, L. Chen
  27. Permutation Symmetry Determines the Discrete Wigner Function
    H. Zhu
  28. Polynomial Bell inequalities
    R. Chaves
  29. Monotone Measures of Statistical Complexity
    Ł. Rudnicki, I. V. Toranzo, P. Sánchez-Moreno, J. S. Dehesa


  1. Qubit stabilizer states are complex projective 3-designs
    R. Kueng, D. Gross
  2. Multiqubit Clifford groups are unitary 3-designs
    H. Zhu
  3. Testing for entanglement with periodic images
    D. S. Tasca, Łukasz Rudnicki, R. S. Aspden, M. J. Padgett, P. H. S. Ribeiro, S. P. Walborn
  4. Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems
    A. Carpentier, J. Eisert, D. Gross, R. Nickl
  5. Near-optimal quantum tomography: estimators and bounds
    R. Kueng, C. Ferrie
  6. Certainty Relations, Mutual Entanglement, and Nondisplaceable Manifolds
    Z. Puchała, Ł. Rudnicki, K. Chabuda, M. Paraniak, K Życzkowski
  7. Contrast in Multipath Interference and Quantum Coherence
    K. von Prillwitz, Ł. Rudnicki, F. Mintert
  8. Device-Independent Tests of Entropy
    R. Chaves, J. B. Brask, N. Brunner
  9. Improved Quantum Magnetometry beyond the Standard Quantum Limit
    J. B. Brask, R. Chaves, J. Kolodynski
  10. Hierarchical equations for open system dynamics in fermionic and bosonic environments
    D. Suess, W. T. Strunz, A. Eisfeld
  11. Majorization approach to entropic uncertainty relations for coarse-grained observables
    L. Rudnicki
  12. A unifying framework for relaxations of the causal assumptions in Bell's theorem
    R. Chaves, R. Kueng, J. B. Brask, D. Gross
  13. A Partial Derandomization of PhaseLift using Spherical Designs
    D. Gross, F. Krahmer, R. Kueng
  14. Information-Theoretic Implications of Quantum Causal Structures
    R. Chaves, C. Majenz, D. Gross


  1. Low rank matrix recovery from rank one measurements
    R. Kueng, H. Rauhut, U. Terstiege
  2. Simple approach for the two-terminal conductance through interacting clusters
    A. A. Lopes, R. G. Dias
  3. Eigenvalue Distributions of Reduced Density Matrices
    M. Christandl, B. Doran, S. Kousidis, M. Walter
  4. Matrix product operators and states: NP-hardness and undecidability
    M. Kliesch, D. Gross, J. Eisert
  5. Catalytic Coherence
    J. Aberg
  6. Inferring latent structures via information inequalities
    R. Chaves, L. Luft, T. O. Maciel, D. Gross, D. Janzing, B. Schölkopf
  7. Conductance through geometrically frustrated itinerant electronic systems
    A. A. Lopes, B. A. Z. António, R. G. Dias
  8. Experimental Comparison of Efficient Tomography Schemes for a Six-Qubit State
    C. Schwemmer, G. Toth, A. Niggebaum, T. Moroder, D. Gross, O. Gühne, H. Weinfurter
  9. Linear-optical simulation of the cooling of a cluster-state Hamiltonian system
    G. H. Aguilar, T. Kolb, D. Cavalcanti, L. Aolita, R. Chaves, S. P. Walborn, P. H. S. Ribeiro
  10. Detecting nonlocality of noisy multipartite states with the CHSH inequality
    R. Chaves, A. Acín, L. Aolita, D. Cavalcanti
  11. Causal structures from entropic information: Geometry and novel scenarios
    R. Chaves, L. Luft, D. Gross
  12. Nonlocality in sequential correlation scenarios
    R. Gallego, L. E. Würflinger, R. Chaves, A. Acín, M. Navascués
  13. Exploring the Local Orthogonality Principle
    A. B. Sainz, T. Fritz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, A. Acín
  14. RIPless compressed sensing from anisotropic measurements
    R. Kueng, D. Gross


  1. The number of flags in finite vector spaces: Asymptotic normality and Mahonian statistics
    T. Bliem, S. Kousidis
  2. Stabilizer information inequalities from phase space distributions
    D. Gross, M. Walter
  3. Scalable reconstruction of density matrices
    T. Baumgratz, D. Gross, M. Cramer, M. B. Plenio
  4. Pinning of Fermionic Occupation Numbers
    C. Schilling, D. Gross, M. Christandl
  5. Transport through quantum rings
    B. A. Z. Antonio, A. A. Lopes, R. G. Dias
  6. Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
    M. Walter, B. Doran, D. Gross, M. Christandl
  7. Noisy metrology beyond the standard quantum limit
    R. Chaves, J. B. Brask, M. Markiewicz, J. Kolodynski, A. Acin
  8. Local orthogonality as a multipartite principle for quantum correlations
    T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, A. Acín
  9. Testing nonlocality of a single photon without a shared reference frame
    J. B. Brask, R. Chaves, N. Brunner
  10. Entropic inequalities as a necessary and sufficient condition to noncontextuality and locality
    R. Chaves
  11. Focus on Quantum Tomogrpahy
    K. Banaszek, M. Cramer, D. Gross
  12. Entropic Inequalities and Marginal Problems
    T. Fritz, R. Chaves
  13. Truly work-like work extraction
    J. Aberg
  14. Directed quantum communication
    J. Aberg, S. Hengl, R. Renner


  1. Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
    S. T. Flammia, D. Gross, Y.-K. Liu, J. Eisert
  2. Negative Quasi-Probability as a Resource for Quantum Computation
    V. Veitch, C. Ferrie, D. Gross, J. Emerson
  3. Index theory of one dimensional quantum walks and cellular automata
    D. Gross, V. Nesme, H. Vogts, R. F. Werner